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Simplifying 4(90 + -1x) = 2(180 + -1x) + -12 (90 * 4 + -1x * 4) = 2(180 + -1x) + -12 (360 + -4x) = 2(180 + -1x) + -12 360 + -4x = (180 * 2 + -1x * 2) + -12 360 + -4x = (360 + -2x) + -12 Reorder the terms: 360 + -4x = 360 + -12 + -2x Combine like terms: 360 + -12 = 348 360 + -4x = 348 + -2x Solving 360 + -4x = 348 + -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. 360 + -4x + 2x = 348 + -2x + 2x Combine like terms: -4x + 2x = -2x 360 + -2x = 348 + -2x + 2x Combine like terms: -2x + 2x = 0 360 + -2x = 348 + 0 360 + -2x = 348 Add '-360' to each side of the equation. 360 + -360 + -2x = 348 + -360 Combine like terms: 360 + -360 = 0 0 + -2x = 348 + -360 -2x = 348 + -360 Combine like terms: 348 + -360 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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