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Simplifying -2(x + -5) + 6x = 3(x + 1) Reorder the terms: -2(-5 + x) + 6x = 3(x + 1) (-5 * -2 + x * -2) + 6x = 3(x + 1) (10 + -2x) + 6x = 3(x + 1) Combine like terms: -2x + 6x = 4x 10 + 4x = 3(x + 1) Reorder the terms: 10 + 4x = 3(1 + x) 10 + 4x = (1 * 3 + x * 3) 10 + 4x = (3 + 3x) Solving 10 + 4x = 3 + 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 + 4x + -3x = 3 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = 3 + 0 10 + 1x = 3 Add '-10' to each side of the equation. 10 + -10 + 1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 3 + -10 1x = 3 + -10 Combine like terms: 3 + -10 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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