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Simplifying 2w + -3 + 3(w + -4) + -5(w + -6) = x Reorder the terms: 2w + -3 + 3(-4 + w) + -5(w + -6) = x 2w + -3 + (-4 * 3 + w * 3) + -5(w + -6) = x 2w + -3 + (-12 + 3w) + -5(w + -6) = x Reorder the terms: 2w + -3 + -12 + 3w + -5(-6 + w) = x 2w + -3 + -12 + 3w + (-6 * -5 + w * -5) = x 2w + -3 + -12 + 3w + (30 + -5w) = x Reorder the terms: -3 + -12 + 30 + 2w + 3w + -5w = x Combine like terms: -3 + -12 = -15 -15 + 30 + 2w + 3w + -5w = x Combine like terms: -15 + 30 = 15 15 + 2w + 3w + -5w = x Combine like terms: 2w + 3w = 5w 15 + 5w + -5w = x Combine like terms: 5w + -5w = 0 15 + 0 = x 15 = x Solving 15 = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -1x = x + -1x Combine like terms: x + -1x = 0 15 + -1x = 0 Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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