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Simplifying 5(2x + 3) = 8(x + -4) Reorder the terms: 5(3 + 2x) = 8(x + -4) (3 * 5 + 2x * 5) = 8(x + -4) (15 + 10x) = 8(x + -4) Reorder the terms: 15 + 10x = 8(-4 + x) 15 + 10x = (-4 * 8 + x * 8) 15 + 10x = (-32 + 8x) Solving 15 + 10x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 10x + -8x = -32 + 8x + -8x Combine like terms: 10x + -8x = 2x 15 + 2x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 2x = -32 + 0 15 + 2x = -32 Add '-15' to each side of the equation. 15 + -15 + 2x = -32 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -32 + -15 2x = -32 + -15 Combine like terms: -32 + -15 = -47 2x = -47 Divide each side by '2'. x = -23.5 Simplifying x = -23.5
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