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Simplifying 15x + 8(4 + -2x) = 16 + -3(x + 8) 15x + (4 * 8 + -2x * 8) = 16 + -3(x + 8) 15x + (32 + -16x) = 16 + -3(x + 8) Reorder the terms: 32 + 15x + -16x = 16 + -3(x + 8) Combine like terms: 15x + -16x = -1x 32 + -1x = 16 + -3(x + 8) Reorder the terms: 32 + -1x = 16 + -3(8 + x) 32 + -1x = 16 + (8 * -3 + x * -3) 32 + -1x = 16 + (-24 + -3x) Combine like terms: 16 + -24 = -8 32 + -1x = -8 + -3x Solving 32 + -1x = -8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 32 + -1x + 3x = -8 + -3x + 3x Combine like terms: -1x + 3x = 2x 32 + 2x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 32 + 2x = -8 + 0 32 + 2x = -8 Add '-32' to each side of the equation. 32 + -32 + 2x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = -8 + -32 2x = -8 + -32 Combine like terms: -8 + -32 = -40 2x = -40 Divide each side by '2'. x = -20 Simplifying x = -20
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