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Simplifying 7x + -8 + 3x + -5 = -9(-2x + -2) Reorder the terms: -8 + -5 + 7x + 3x = -9(-2x + -2) Combine like terms: -8 + -5 = -13 -13 + 7x + 3x = -9(-2x + -2) Combine like terms: 7x + 3x = 10x -13 + 10x = -9(-2x + -2) Reorder the terms: -13 + 10x = -9(-2 + -2x) -13 + 10x = (-2 * -9 + -2x * -9) -13 + 10x = (18 + 18x) Solving -13 + 10x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -13 + 10x + -18x = 18 + 18x + -18x Combine like terms: 10x + -18x = -8x -13 + -8x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 -13 + -8x = 18 + 0 -13 + -8x = 18 Add '13' to each side of the equation. -13 + 13 + -8x = 18 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = 18 + 13 -8x = 18 + 13 Combine like terms: 18 + 13 = 31 -8x = 31 Divide each side by '-8'. x = -3.875 Simplifying x = -3.875
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