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Simplifying 3(2x + -4) + 5x = -4(5x + -2) + 7 Reorder the terms: 3(-4 + 2x) + 5x = -4(5x + -2) + 7 (-4 * 3 + 2x * 3) + 5x = -4(5x + -2) + 7 (-12 + 6x) + 5x = -4(5x + -2) + 7 Combine like terms: 6x + 5x = 11x -12 + 11x = -4(5x + -2) + 7 Reorder the terms: -12 + 11x = -4(-2 + 5x) + 7 -12 + 11x = (-2 * -4 + 5x * -4) + 7 -12 + 11x = (8 + -20x) + 7 Reorder the terms: -12 + 11x = 8 + 7 + -20x Combine like terms: 8 + 7 = 15 -12 + 11x = 15 + -20x Solving -12 + 11x = 15 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -12 + 11x + 20x = 15 + -20x + 20x Combine like terms: 11x + 20x = 31x -12 + 31x = 15 + -20x + 20x Combine like terms: -20x + 20x = 0 -12 + 31x = 15 + 0 -12 + 31x = 15 Add '12' to each side of the equation. -12 + 12 + 31x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 31x = 15 + 12 31x = 15 + 12 Combine like terms: 15 + 12 = 27 31x = 27 Divide each side by '31'. x = 0.8709677419 Simplifying x = 0.8709677419
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