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Simplifying -5(x + 2) + 15 = 12 + -6x Reorder the terms: -5(2 + x) + 15 = 12 + -6x (2 * -5 + x * -5) + 15 = 12 + -6x (-10 + -5x) + 15 = 12 + -6x Reorder the terms: -10 + 15 + -5x = 12 + -6x Combine like terms: -10 + 15 = 5 5 + -5x = 12 + -6x Solving 5 + -5x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + -5x + 6x = 12 + -6x + 6x Combine like terms: -5x + 6x = 1x 5 + 1x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 1x = 12 + 0 5 + 1x = 12 Add '-5' to each side of the equation. 5 + -5 + 1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 12 + -5 1x = 12 + -5 Combine like terms: 12 + -5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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