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Simplifying -3(x + -5) + 2x = 6 + -3(2 + -1x) Reorder the terms: -3(-5 + x) + 2x = 6 + -3(2 + -1x) (-5 * -3 + x * -3) + 2x = 6 + -3(2 + -1x) (15 + -3x) + 2x = 6 + -3(2 + -1x) Combine like terms: -3x + 2x = -1x 15 + -1x = 6 + -3(2 + -1x) 15 + -1x = 6 + (2 * -3 + -1x * -3) 15 + -1x = 6 + (-6 + 3x) Combine like terms: 6 + -6 = 0 15 + -1x = 0 + 3x 15 + -1x = 3x Solving 15 + -1x = 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. 15 + -1x + -3x = 3x + -3x Combine like terms: -1x + -3x = -4x 15 + -4x = 3x + -3x Combine like terms: 3x + -3x = 0 15 + -4x = 0 Add '-15' to each side of the equation. 15 + -15 + -4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 0 + -15 -4x = 0 + -15 Combine like terms: 0 + -15 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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