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Simplifying -2(x + -4) + 3(2x + 7) = 0 Reorder the terms: -2(-4 + x) + 3(2x + 7) = 0 (-4 * -2 + x * -2) + 3(2x + 7) = 0 (8 + -2x) + 3(2x + 7) = 0 Reorder the terms: 8 + -2x + 3(7 + 2x) = 0 8 + -2x + (7 * 3 + 2x * 3) = 0 8 + -2x + (21 + 6x) = 0 Reorder the terms: 8 + 21 + -2x + 6x = 0 Combine like terms: 8 + 21 = 29 29 + -2x + 6x = 0 Combine like terms: -2x + 6x = 4x 29 + 4x = 0 Solving 29 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 4x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 0 + -29 4x = 0 + -29 Combine like terms: 0 + -29 = -29 4x = -29 Divide each side by '4'. x = -7.25 Simplifying x = -7.25
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