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Simplifying 3(x + 4) + 5(x + -3) = 6x + -12 Reorder the terms: 3(4 + x) + 5(x + -3) = 6x + -12 (4 * 3 + x * 3) + 5(x + -3) = 6x + -12 (12 + 3x) + 5(x + -3) = 6x + -12 Reorder the terms: 12 + 3x + 5(-3 + x) = 6x + -12 12 + 3x + (-3 * 5 + x * 5) = 6x + -12 12 + 3x + (-15 + 5x) = 6x + -12 Reorder the terms: 12 + -15 + 3x + 5x = 6x + -12 Combine like terms: 12 + -15 = -3 -3 + 3x + 5x = 6x + -12 Combine like terms: 3x + 5x = 8x -3 + 8x = 6x + -12 Reorder the terms: -3 + 8x = -12 + 6x Solving -3 + 8x = -12 + 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. -3 + 8x + -6x = -12 + 6x + -6x Combine like terms: 8x + -6x = 2x -3 + 2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 2x = -12 + 0 -3 + 2x = -12 Add '3' to each side of the equation. -3 + 3 + 2x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -12 + 3 2x = -12 + 3 Combine like terms: -12 + 3 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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