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Simplifying 3(5x + -4) = 2(x + 5) Reorder the terms: 3(-4 + 5x) = 2(x + 5) (-4 * 3 + 5x * 3) = 2(x + 5) (-12 + 15x) = 2(x + 5) Reorder the terms: -12 + 15x = 2(5 + x) -12 + 15x = (5 * 2 + x * 2) -12 + 15x = (10 + 2x) Solving -12 + 15x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 15x + -2x = 10 + 2x + -2x Combine like terms: 15x + -2x = 13x -12 + 13x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 13x = 10 + 0 -12 + 13x = 10 Add '12' to each side of the equation. -12 + 12 + 13x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 10 + 12 13x = 10 + 12 Combine like terms: 10 + 12 = 22 13x = 22 Divide each side by '13'. x = 1.692307692 Simplifying x = 1.692307692
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