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Simplifying 8x + -3(2x + -4) = 5(3x + -6) Reorder the terms: 8x + -3(-4 + 2x) = 5(3x + -6) 8x + (-4 * -3 + 2x * -3) = 5(3x + -6) 8x + (12 + -6x) = 5(3x + -6) Reorder the terms: 12 + 8x + -6x = 5(3x + -6) Combine like terms: 8x + -6x = 2x 12 + 2x = 5(3x + -6) Reorder the terms: 12 + 2x = 5(-6 + 3x) 12 + 2x = (-6 * 5 + 3x * 5) 12 + 2x = (-30 + 15x) Solving 12 + 2x = -30 + 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 + 2x + -15x = -30 + 15x + -15x Combine like terms: 2x + -15x = -13x 12 + -13x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -13x = -30 + 0 12 + -13x = -30 Add '-12' to each side of the equation. 12 + -12 + -13x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -30 + -12 -13x = -30 + -12 Combine like terms: -30 + -12 = -42 -13x = -42 Divide each side by '-13'. x = 3.230769231 Simplifying x = 3.230769231
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