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Simplifying 36 + -1(4 + x) = 2(x + -2) 36 + (4 * -1 + x * -1) = 2(x + -2) 36 + (-4 + -1x) = 2(x + -2) Combine like terms: 36 + -4 = 32 32 + -1x = 2(x + -2) Reorder the terms: 32 + -1x = 2(-2 + x) 32 + -1x = (-2 * 2 + x * 2) 32 + -1x = (-4 + 2x) Solving 32 + -1x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + -1x + -2x = -4 + 2x + -2x Combine like terms: -1x + -2x = -3x 32 + -3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + -3x = -4 + 0 32 + -3x = -4 Add '-32' to each side of the equation. 32 + -32 + -3x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -3x = -4 + -32 -3x = -4 + -32 Combine like terms: -4 + -32 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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