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Simplifying x + -2 + 5 + -2x = 8(-7x + 5) + 3(x + 5) Reorder the terms: -2 + 5 + x + -2x = 8(-7x + 5) + 3(x + 5) Combine like terms: -2 + 5 = 3 3 + x + -2x = 8(-7x + 5) + 3(x + 5) Combine like terms: x + -2x = -1x 3 + -1x = 8(-7x + 5) + 3(x + 5) Reorder the terms: 3 + -1x = 8(5 + -7x) + 3(x + 5) 3 + -1x = (5 * 8 + -7x * 8) + 3(x + 5) 3 + -1x = (40 + -56x) + 3(x + 5) Reorder the terms: 3 + -1x = 40 + -56x + 3(5 + x) 3 + -1x = 40 + -56x + (5 * 3 + x * 3) 3 + -1x = 40 + -56x + (15 + 3x) Reorder the terms: 3 + -1x = 40 + 15 + -56x + 3x Combine like terms: 40 + 15 = 55 3 + -1x = 55 + -56x + 3x Combine like terms: -56x + 3x = -53x 3 + -1x = 55 + -53x Solving 3 + -1x = 55 + -53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53x' to each side of the equation. 3 + -1x + 53x = 55 + -53x + 53x Combine like terms: -1x + 53x = 52x 3 + 52x = 55 + -53x + 53x Combine like terms: -53x + 53x = 0 3 + 52x = 55 + 0 3 + 52x = 55 Add '-3' to each side of the equation. 3 + -3 + 52x = 55 + -3 Combine like terms: 3 + -3 = 0 0 + 52x = 55 + -3 52x = 55 + -3 Combine like terms: 55 + -3 = 52 52x = 52 Divide each side by '52'. x = 1 Simplifying x = 1
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