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