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Simplifying 52 = -2(22 + -1x) + 4(x + -3) 52 = (22 * -2 + -1x * -2) + 4(x + -3) 52 = (-44 + 2x) + 4(x + -3) Reorder the terms: 52 = -44 + 2x + 4(-3 + x) 52 = -44 + 2x + (-3 * 4 + x * 4) 52 = -44 + 2x + (-12 + 4x) Reorder the terms: 52 = -44 + -12 + 2x + 4x Combine like terms: -44 + -12 = -56 52 = -56 + 2x + 4x Combine like terms: 2x + 4x = 6x 52 = -56 + 6x Solving 52 = -56 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 52 + -6x = -56 + 6x + -6x Combine like terms: 6x + -6x = 0 52 + -6x = -56 + 0 52 + -6x = -56 Add '-52' to each side of the equation. 52 + -52 + -6x = -56 + -52 Combine like terms: 52 + -52 = 0 0 + -6x = -56 + -52 -6x = -56 + -52 Combine like terms: -56 + -52 = -108 -6x = -108 Divide each side by '-6'. x = 18 Simplifying x = 18
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