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Simplifying 5(x + -3) + -7 = -2(-8x + 9) + -1x Reorder the terms: 5(-3 + x) + -7 = -2(-8x + 9) + -1x (-3 * 5 + x * 5) + -7 = -2(-8x + 9) + -1x (-15 + 5x) + -7 = -2(-8x + 9) + -1x Reorder the terms: -15 + -7 + 5x = -2(-8x + 9) + -1x Combine like terms: -15 + -7 = -22 -22 + 5x = -2(-8x + 9) + -1x Reorder the terms: -22 + 5x = -2(9 + -8x) + -1x -22 + 5x = (9 * -2 + -8x * -2) + -1x -22 + 5x = (-18 + 16x) + -1x Combine like terms: 16x + -1x = 15x -22 + 5x = -18 + 15x Solving -22 + 5x = -18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -22 + 5x + -15x = -18 + 15x + -15x Combine like terms: 5x + -15x = -10x -22 + -10x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 -22 + -10x = -18 + 0 -22 + -10x = -18 Add '22' to each side of the equation. -22 + 22 + -10x = -18 + 22 Combine like terms: -22 + 22 = 0 0 + -10x = -18 + 22 -10x = -18 + 22 Combine like terms: -18 + 22 = 4 -10x = 4 Divide each side by '-10'. x = -0.4 Simplifying x = -0.4
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