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Simplifying 4(2x + -3) = 5(3x + -8) Reorder the terms: 4(-3 + 2x) = 5(3x + -8) (-3 * 4 + 2x * 4) = 5(3x + -8) (-12 + 8x) = 5(3x + -8) Reorder the terms: -12 + 8x = 5(-8 + 3x) -12 + 8x = (-8 * 5 + 3x * 5) -12 + 8x = (-40 + 15x) Solving -12 + 8x = -40 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + 8x + -15x = -40 + 15x + -15x Combine like terms: 8x + -15x = -7x -12 + -7x = -40 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -7x = -40 + 0 -12 + -7x = -40 Add '12' to each side of the equation. -12 + 12 + -7x = -40 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -40 + 12 -7x = -40 + 12 Combine like terms: -40 + 12 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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