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Simplifying 5(8x + 4) + -3(5 + 3x) = -16 + 32x Reorder the terms: 5(4 + 8x) + -3(5 + 3x) = -16 + 32x (4 * 5 + 8x * 5) + -3(5 + 3x) = -16 + 32x (20 + 40x) + -3(5 + 3x) = -16 + 32x 20 + 40x + (5 * -3 + 3x * -3) = -16 + 32x 20 + 40x + (-15 + -9x) = -16 + 32x Reorder the terms: 20 + -15 + 40x + -9x = -16 + 32x Combine like terms: 20 + -15 = 5 5 + 40x + -9x = -16 + 32x Combine like terms: 40x + -9x = 31x 5 + 31x = -16 + 32x Solving 5 + 31x = -16 + 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. 5 + 31x + -32x = -16 + 32x + -32x Combine like terms: 31x + -32x = -1x 5 + -1x = -16 + 32x + -32x Combine like terms: 32x + -32x = 0 5 + -1x = -16 + 0 5 + -1x = -16 Add '-5' to each side of the equation. 5 + -5 + -1x = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -16 + -5 -1x = -16 + -5 Combine like terms: -16 + -5 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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