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Simplifying 2(x + -31) = 4(-2x + 22) Reorder the terms: 2(-31 + x) = 4(-2x + 22) (-31 * 2 + x * 2) = 4(-2x + 22) (-62 + 2x) = 4(-2x + 22) Reorder the terms: -62 + 2x = 4(22 + -2x) -62 + 2x = (22 * 4 + -2x * 4) -62 + 2x = (88 + -8x) Solving -62 + 2x = 88 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -62 + 2x + 8x = 88 + -8x + 8x Combine like terms: 2x + 8x = 10x -62 + 10x = 88 + -8x + 8x Combine like terms: -8x + 8x = 0 -62 + 10x = 88 + 0 -62 + 10x = 88 Add '62' to each side of the equation. -62 + 62 + 10x = 88 + 62 Combine like terms: -62 + 62 = 0 0 + 10x = 88 + 62 10x = 88 + 62 Combine like terms: 88 + 62 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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