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Simplifying 8(x + -3) = 5(2x + 1) Reorder the terms: 8(-3 + x) = 5(2x + 1) (-3 * 8 + x * 8) = 5(2x + 1) (-24 + 8x) = 5(2x + 1) Reorder the terms: -24 + 8x = 5(1 + 2x) -24 + 8x = (1 * 5 + 2x * 5) -24 + 8x = (5 + 10x) Solving -24 + 8x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 8x + -10x = 5 + 10x + -10x Combine like terms: 8x + -10x = -2x -24 + -2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + -2x = 5 + 0 -24 + -2x = 5 Add '24' to each side of the equation. -24 + 24 + -2x = 5 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 5 + 24 -2x = 5 + 24 Combine like terms: 5 + 24 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5
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