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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 = 22 22 + -7x + -5x = -2(4 + -3x) + -2 Combine like terms: -7x + -5x = -12x 22 + -12x = -2(4 + -3x) + -2 22 + -12x = (4 * -2 + -3x * -2) + -2 22 + -12x = (-8 + 6x) + -2 Reorder the terms: 22 + -12x = -8 + -2 + 6x Combine like terms: -8 + -2 = -10 22 + -12x = -10 + 6x Solving 22 + -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. 22 + -12x + -6x = -10 + 6x + -6x Combine like terms: -12x + -6x = -18x 22 + -18x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + -18x = -10 + 0 22 + -18x = -10 Add '-22' to each side of the equation. 22 + -22 + -18x = -10 + -22 Combine like terms: 22 + -22 = 0 0 + -18x = -10 + -22 -18x = -10 + -22 Combine like terms: -10 + -22 = -32 -18x = -32 Divide each side by '-18'. x = 1.777777778 Simplifying x = 1.777777778
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