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Simplifying 3x + -1(5x + -13) = 8x + -1(x + -9) Reorder the terms: 3x + -1(-13 + 5x) = 8x + -1(x + -9) 3x + (-13 * -1 + 5x * -1) = 8x + -1(x + -9) 3x + (13 + -5x) = 8x + -1(x + -9) Reorder the terms: 13 + 3x + -5x = 8x + -1(x + -9) Combine like terms: 3x + -5x = -2x 13 + -2x = 8x + -1(x + -9) Reorder the terms: 13 + -2x = 8x + -1(-9 + x) 13 + -2x = 8x + (-9 * -1 + x * -1) 13 + -2x = 8x + (9 + -1x) Reorder the terms: 13 + -2x = 9 + 8x + -1x Combine like terms: 8x + -1x = 7x 13 + -2x = 9 + 7x Solving 13 + -2x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + -2x + -7x = 9 + 7x + -7x Combine like terms: -2x + -7x = -9x 13 + -9x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -9x = 9 + 0 13 + -9x = 9 Add '-13' to each side of the equation. 13 + -13 + -9x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = 9 + -13 -9x = 9 + -13 Combine like terms: 9 + -13 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444
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