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Simplifying 2(x + -4) + 3(2x + 5) = 0 Reorder the terms: 2(-4 + x) + 3(2x + 5) = 0 (-4 * 2 + x * 2) + 3(2x + 5) = 0 (-8 + 2x) + 3(2x + 5) = 0 Reorder the terms: -8 + 2x + 3(5 + 2x) = 0 -8 + 2x + (5 * 3 + 2x * 3) = 0 -8 + 2x + (15 + 6x) = 0 Reorder the terms: -8 + 15 + 2x + 6x = 0 Combine like terms: -8 + 15 = 7 7 + 2x + 6x = 0 Combine like terms: 2x + 6x = 8x 7 + 8x = 0 Solving 7 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875
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