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Simplifying 2(x + 7) + -6 = 4(x + 5) + -3 Reorder the terms: 2(7 + x) + -6 = 4(x + 5) + -3 (7 * 2 + x * 2) + -6 = 4(x + 5) + -3 (14 + 2x) + -6 = 4(x + 5) + -3 Reorder the terms: 14 + -6 + 2x = 4(x + 5) + -3 Combine like terms: 14 + -6 = 8 8 + 2x = 4(x + 5) + -3 Reorder the terms: 8 + 2x = 4(5 + x) + -3 8 + 2x = (5 * 4 + x * 4) + -3 8 + 2x = (20 + 4x) + -3 Reorder the terms: 8 + 2x = 20 + -3 + 4x Combine like terms: 20 + -3 = 17 8 + 2x = 17 + 4x Solving 8 + 2x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 2x + -4x = 17 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 17 + 0 8 + -2x = 17 Add '-8' to each side of the equation. 8 + -8 + -2x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 17 + -8 -2x = 17 + -8 Combine like terms: 17 + -8 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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