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Simplifying [130 + -1x] = [x + -50] Remove brackets around [130 + -1x] 130 + -1x = [x + -50] Reorder the terms: 130 + -1x = [-50 + x] Remove brackets around [-50 + x] 130 + -1x = -50 + x Solving 130 + -1x = -50 + 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. 130 + -1x + -1x = -50 + x + -1x Combine like terms: -1x + -1x = -2x 130 + -2x = -50 + x + -1x Combine like terms: x + -1x = 0 130 + -2x = -50 + 0 130 + -2x = -50 Add '-130' to each side of the equation. 130 + -130 + -2x = -50 + -130 Combine like terms: 130 + -130 = 0 0 + -2x = -50 + -130 -2x = -50 + -130 Combine like terms: -50 + -130 = -180 -2x = -180 Divide each side by '-2'. x = 90 Simplifying x = 90
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