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Simplifying -13 + 7x = -8(-2x + -4) Reorder the terms: -13 + 7x = -8(-4 + -2x) -13 + 7x = (-4 * -8 + -2x * -8) -13 + 7x = (32 + 16x) Solving -13 + 7x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -13 + 7x + -16x = 32 + 16x + -16x Combine like terms: 7x + -16x = -9x -13 + -9x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 -13 + -9x = 32 + 0 -13 + -9x = 32 Add '13' to each side of the equation. -13 + 13 + -9x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + -9x = 32 + 13 -9x = 32 + 13 Combine like terms: 32 + 13 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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