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Simplifying 15 + -7(x + 1) + -5x = -2(4 + -3x) + -2 Reorder the terms: 15 + -7(1 + x) + -5x = -2(4 + -3x) + -2 15 + (1 * -7 + x * -7) + -5x = -2(4 + -3x) + -2 15 + (-7 + -7x) + -5x = -2(4 + -3x) + -2 Combine like terms: 15 + -7 = 8 8 + -7x + -5x = -2(4 + -3x) + -2 Combine like terms: -7x + -5x = -12x 8 + -12x = -2(4 + -3x) + -2 8 + -12x = (4 * -2 + -3x * -2) + -2 8 + -12x = (-8 + 6x) + -2 Reorder the terms: 8 + -12x = -8 + -2 + 6x Combine like terms: -8 + -2 = -10 8 + -12x = -10 + 6x Solving 8 + -12x = -10 + 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. 8 + -12x + -6x = -10 + 6x + -6x Combine like terms: -12x + -6x = -18x 8 + -18x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -18x = -10 + 0 8 + -18x = -10 Add '-8' to each side of the equation. 8 + -8 + -18x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = -10 + -8 -18x = -10 + -8 Combine like terms: -10 + -8 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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