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Simplifying 12 + -1(2x + -15) + -5x = -5(6x + 1) + 7x Reorder the terms: 12 + -1(-15 + 2x) + -5x = -5(6x + 1) + 7x 12 + (-15 * -1 + 2x * -1) + -5x = -5(6x + 1) + 7x 12 + (15 + -2x) + -5x = -5(6x + 1) + 7x Combine like terms: 12 + 15 = 27 27 + -2x + -5x = -5(6x + 1) + 7x Combine like terms: -2x + -5x = -7x 27 + -7x = -5(6x + 1) + 7x Reorder the terms: 27 + -7x = -5(1 + 6x) + 7x 27 + -7x = (1 * -5 + 6x * -5) + 7x 27 + -7x = (-5 + -30x) + 7x Combine like terms: -30x + 7x = -23x 27 + -7x = -5 + -23x Solving 27 + -7x = -5 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 27 + -7x + 23x = -5 + -23x + 23x Combine like terms: -7x + 23x = 16x 27 + 16x = -5 + -23x + 23x Combine like terms: -23x + 23x = 0 27 + 16x = -5 + 0 27 + 16x = -5 Add '-27' to each side of the equation. 27 + -27 + 16x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 16x = -5 + -27 16x = -5 + -27 Combine like terms: -5 + -27 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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