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Simplifying 10 + -1(x + -5) + -1(2x + -1) + -1(3x + 4) = x + x + 5 + 5 Reorder the terms: 10 + -1(-5 + x) + -1(2x + -1) + -1(3x + 4) = x + x + 5 + 5 10 + (-5 * -1 + x * -1) + -1(2x + -1) + -1(3x + 4) = x + x + 5 + 5 10 + (5 + -1x) + -1(2x + -1) + -1(3x + 4) = x + x + 5 + 5 Reorder the terms: 10 + 5 + -1x + -1(-1 + 2x) + -1(3x + 4) = x + x + 5 + 5 10 + 5 + -1x + (-1 * -1 + 2x * -1) + -1(3x + 4) = x + x + 5 + 5 10 + 5 + -1x + (1 + -2x) + -1(3x + 4) = x + x + 5 + 5 Reorder the terms: 10 + 5 + -1x + 1 + -2x + -1(4 + 3x) = x + x + 5 + 5 10 + 5 + -1x + 1 + -2x + (4 * -1 + 3x * -1) = x + x + 5 + 5 10 + 5 + -1x + 1 + -2x + (-4 + -3x) = x + x + 5 + 5 Reorder the terms: 10 + 5 + 1 + -4 + -1x + -2x + -3x = x + x + 5 + 5 Combine like terms: 10 + 5 = 15 15 + 1 + -4 + -1x + -2x + -3x = x + x + 5 + 5 Combine like terms: 15 + 1 = 16 16 + -4 + -1x + -2x + -3x = x + x + 5 + 5 Combine like terms: 16 + -4 = 12 12 + -1x + -2x + -3x = x + x + 5 + 5 Combine like terms: -1x + -2x = -3x 12 + -3x + -3x = x + x + 5 + 5 Combine like terms: -3x + -3x = -6x 12 + -6x = x + x + 5 + 5 Reorder the terms: 12 + -6x = 5 + 5 + x + x Combine like terms: 5 + 5 = 10 12 + -6x = 10 + x + x Combine like terms: x + x = 2x 12 + -6x = 10 + 2x Solving 12 + -6x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -6x + -2x = 10 + 2x + -2x Combine like terms: -6x + -2x = -8x 12 + -8x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -8x = 10 + 0 12 + -8x = 10 Add '-12' to each side of the equation. 12 + -12 + -8x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 10 + -12 -8x = 10 + -12 Combine like terms: 10 + -12 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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