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Simplifying 15(7x + 12) = -4(-8x + -13) Reorder the terms: 15(12 + 7x) = -4(-8x + -13) (12 * 15 + 7x * 15) = -4(-8x + -13) (180 + 105x) = -4(-8x + -13) Reorder the terms: 180 + 105x = -4(-13 + -8x) 180 + 105x = (-13 * -4 + -8x * -4) 180 + 105x = (52 + 32x) Solving 180 + 105x = 52 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 180 + 105x + -32x = 52 + 32x + -32x Combine like terms: 105x + -32x = 73x 180 + 73x = 52 + 32x + -32x Combine like terms: 32x + -32x = 0 180 + 73x = 52 + 0 180 + 73x = 52 Add '-180' to each side of the equation. 180 + -180 + 73x = 52 + -180 Combine like terms: 180 + -180 = 0 0 + 73x = 52 + -180 73x = 52 + -180 Combine like terms: 52 + -180 = -128 73x = -128 Divide each side by '73'. x = -1.753424658 Simplifying x = -1.753424658
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