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Simplifying 2(x + -5) + 4(1 + -2x) = 5(3 + -1x) Reorder the terms: 2(-5 + x) + 4(1 + -2x) = 5(3 + -1x) (-5 * 2 + x * 2) + 4(1 + -2x) = 5(3 + -1x) (-10 + 2x) + 4(1 + -2x) = 5(3 + -1x) -10 + 2x + (1 * 4 + -2x * 4) = 5(3 + -1x) -10 + 2x + (4 + -8x) = 5(3 + -1x) Reorder the terms: -10 + 4 + 2x + -8x = 5(3 + -1x) Combine like terms: -10 + 4 = -6 -6 + 2x + -8x = 5(3 + -1x) Combine like terms: 2x + -8x = -6x -6 + -6x = 5(3 + -1x) -6 + -6x = (3 * 5 + -1x * 5) -6 + -6x = (15 + -5x) Solving -6 + -6x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -6x + 5x = 15 + -5x + 5x Combine like terms: -6x + 5x = -1x -6 + -1x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + -1x = 15 + 0 -6 + -1x = 15 Add '6' to each side of the equation. -6 + 6 + -1x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 15 + 6 -1x = 15 + 6 Combine like terms: 15 + 6 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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