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Simplifying 5x = 2(3x + 4) + -7(12 + -1x) Reorder the terms: 5x = 2(4 + 3x) + -7(12 + -1x) 5x = (4 * 2 + 3x * 2) + -7(12 + -1x) 5x = (8 + 6x) + -7(12 + -1x) 5x = 8 + 6x + (12 * -7 + -1x * -7) 5x = 8 + 6x + (-84 + 7x) Reorder the terms: 5x = 8 + -84 + 6x + 7x Combine like terms: 8 + -84 = -76 5x = -76 + 6x + 7x Combine like terms: 6x + 7x = 13x 5x = -76 + 13x Solving 5x = -76 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 5x + -13x = -76 + 13x + -13x Combine like terms: 5x + -13x = -8x -8x = -76 + 13x + -13x Combine like terms: 13x + -13x = 0 -8x = -76 + 0 -8x = -76 Divide each side by '-8'. x = 9.5 Simplifying x = 9.5
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