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Simplifying (8 + -3x) * 5 = 4(2x + -3) Reorder the terms for easier multiplication: 5(8 + -3x) = 4(2x + -3) (8 * 5 + -3x * 5) = 4(2x + -3) (40 + -15x) = 4(2x + -3) Reorder the terms: 40 + -15x = 4(-3 + 2x) 40 + -15x = (-3 * 4 + 2x * 4) 40 + -15x = (-12 + 8x) Solving 40 + -15x = -12 + 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. 40 + -15x + -8x = -12 + 8x + -8x Combine like terms: -15x + -8x = -23x 40 + -23x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + -23x = -12 + 0 40 + -23x = -12 Add '-40' to each side of the equation. 40 + -40 + -23x = -12 + -40 Combine like terms: 40 + -40 = 0 0 + -23x = -12 + -40 -23x = -12 + -40 Combine like terms: -12 + -40 = -52 -23x = -52 Divide each side by '-23'. x = 2.260869565 Simplifying x = 2.260869565
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