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Simplifying 4(x + 2) + -3(x + -5) = 0 Reorder the terms: 4(2 + x) + -3(x + -5) = 0 (2 * 4 + x * 4) + -3(x + -5) = 0 (8 + 4x) + -3(x + -5) = 0 Reorder the terms: 8 + 4x + -3(-5 + x) = 0 8 + 4x + (-5 * -3 + x * -3) = 0 8 + 4x + (15 + -3x) = 0 Reorder the terms: 8 + 15 + 4x + -3x = 0 Combine like terms: 8 + 15 = 23 23 + 4x + -3x = 0 Combine like terms: 4x + -3x = 1x 23 + 1x = 0 Solving 23 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 0 + -23 1x = 0 + -23 Combine like terms: 0 + -23 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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