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