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Simplifying 3(5x + -4) = 2(3x + 4) Reorder the terms: 3(-4 + 5x) = 2(3x + 4) (-4 * 3 + 5x * 3) = 2(3x + 4) (-12 + 15x) = 2(3x + 4) Reorder the terms: -12 + 15x = 2(4 + 3x) -12 + 15x = (4 * 2 + 3x * 2) -12 + 15x = (8 + 6x) Solving -12 + 15x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 15x + -6x = 8 + 6x + -6x Combine like terms: 15x + -6x = 9x -12 + 9x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 9x = 8 + 0 -12 + 9x = 8 Add '12' to each side of the equation. -12 + 12 + 9x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 8 + 12 9x = 8 + 12 Combine like terms: 8 + 12 = 20 9x = 20 Divide each side by '9'. x = 2.222222222 Simplifying x = 2.222222222
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