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Simplifying 4x + -2(x + -3) = 5(x + -3) Reorder the terms: 4x + -2(-3 + x) = 5(x + -3) 4x + (-3 * -2 + x * -2) = 5(x + -3) 4x + (6 + -2x) = 5(x + -3) Reorder the terms: 6 + 4x + -2x = 5(x + -3) Combine like terms: 4x + -2x = 2x 6 + 2x = 5(x + -3) Reorder the terms: 6 + 2x = 5(-3 + x) 6 + 2x = (-3 * 5 + x * 5) 6 + 2x = (-15 + 5x) Solving 6 + 2x = -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 + 2x + -5x = -15 + 5x + -5x Combine like terms: 2x + -5x = -3x 6 + -3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -3x = -15 + 0 6 + -3x = -15 Add '-6' to each side of the equation. 6 + -6 + -3x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -15 + -6 -3x = -15 + -6 Combine like terms: -15 + -6 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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