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Simplifying 3x + -5(x + -3) = -5 + 2x + 12 Reorder the terms: 3x + -5(-3 + x) = -5 + 2x + 12 3x + (-3 * -5 + x * -5) = -5 + 2x + 12 3x + (15 + -5x) = -5 + 2x + 12 Reorder the terms: 15 + 3x + -5x = -5 + 2x + 12 Combine like terms: 3x + -5x = -2x 15 + -2x = -5 + 2x + 12 Reorder the terms: 15 + -2x = -5 + 12 + 2x Combine like terms: -5 + 12 = 7 15 + -2x = 7 + 2x Solving 15 + -2x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + -2x + -2x = 7 + 2x + -2x Combine like terms: -2x + -2x = -4x 15 + -4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -4x = 7 + 0 15 + -4x = 7 Add '-15' to each side of the equation. 15 + -15 + -4x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 7 + -15 -4x = 7 + -15 Combine like terms: 7 + -15 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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