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Simplifying 5x + -10 = 3(2x + -2(x + 2) + x) Reorder the terms: -10 + 5x = 3(2x + -2(x + 2) + x) Reorder the terms: -10 + 5x = 3(2x + -2(2 + x) + x) -10 + 5x = 3(2x + (2 * -2 + x * -2) + x) -10 + 5x = 3(2x + (-4 + -2x) + x) Reorder the terms: -10 + 5x = 3(-4 + 2x + -2x + x) Combine like terms: 2x + -2x = 0 -10 + 5x = 3(-4 + 0 + x) -10 + 5x = 3(-4 + x) -10 + 5x = (-4 * 3 + x * 3) -10 + 5x = (-12 + 3x) Solving -10 + 5x = -12 + 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. -10 + 5x + -3x = -12 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = -12 + 0 -10 + 2x = -12 Add '10' to each side of the equation. -10 + 10 + 2x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -12 + 10 2x = -12 + 10 Combine like terms: -12 + 10 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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