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Simplifying 5x + -3(x + -2) = -3 + 5x + 12 Reorder the terms: 5x + -3(-2 + x) = -3 + 5x + 12 5x + (-2 * -3 + x * -3) = -3 + 5x + 12 5x + (6 + -3x) = -3 + 5x + 12 Reorder the terms: 6 + 5x + -3x = -3 + 5x + 12 Combine like terms: 5x + -3x = 2x 6 + 2x = -3 + 5x + 12 Reorder the terms: 6 + 2x = -3 + 12 + 5x Combine like terms: -3 + 12 = 9 6 + 2x = 9 + 5x Solving 6 + 2x = 9 + 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 = 9 + 5x + -5x Combine like terms: 2x + -5x = -3x 6 + -3x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -3x = 9 + 0 6 + -3x = 9 Add '-6' to each side of the equation. 6 + -6 + -3x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 9 + -6 -3x = 9 + -6 Combine like terms: 9 + -6 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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