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Simplifying 5(2x + 3) + -2(x + -4) = 22 Reorder the terms: 5(3 + 2x) + -2(x + -4) = 22 (3 * 5 + 2x * 5) + -2(x + -4) = 22 (15 + 10x) + -2(x + -4) = 22 Reorder the terms: 15 + 10x + -2(-4 + x) = 22 15 + 10x + (-4 * -2 + x * -2) = 22 15 + 10x + (8 + -2x) = 22 Reorder the terms: 15 + 8 + 10x + -2x = 22 Combine like terms: 15 + 8 = 23 23 + 10x + -2x = 22 Combine like terms: 10x + -2x = 8x 23 + 8x = 22 Solving 23 + 8x = 22 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 + 8x = 22 + -23 Combine like terms: 23 + -23 = 0 0 + 8x = 22 + -23 8x = 22 + -23 Combine like terms: 22 + -23 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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