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Simplifying (x + 8) + -1(4x + 18) + -3x = 34(x + 7) + -1(78 + 57x) Reorder the terms: (8 + x) + -1(4x + 18) + -3x = 34(x + 7) + -1(78 + 57x) Remove parenthesis around (8 + x) 8 + x + -1(4x + 18) + -3x = 34(x + 7) + -1(78 + 57x) Reorder the terms: 8 + x + -1(18 + 4x) + -3x = 34(x + 7) + -1(78 + 57x) 8 + x + (18 * -1 + 4x * -1) + -3x = 34(x + 7) + -1(78 + 57x) 8 + x + (-18 + -4x) + -3x = 34(x + 7) + -1(78 + 57x) Reorder the terms: 8 + -18 + x + -4x + -3x = 34(x + 7) + -1(78 + 57x) Combine like terms: 8 + -18 = -10 -10 + x + -4x + -3x = 34(x + 7) + -1(78 + 57x) Combine like terms: x + -4x = -3x -10 + -3x + -3x = 34(x + 7) + -1(78 + 57x) Combine like terms: -3x + -3x = -6x -10 + -6x = 34(x + 7) + -1(78 + 57x) Reorder the terms: -10 + -6x = 34(7 + x) + -1(78 + 57x) -10 + -6x = (7 * 34 + x * 34) + -1(78 + 57x) -10 + -6x = (238 + 34x) + -1(78 + 57x) -10 + -6x = 238 + 34x + (78 * -1 + 57x * -1) -10 + -6x = 238 + 34x + (-78 + -57x) Reorder the terms: -10 + -6x = 238 + -78 + 34x + -57x Combine like terms: 238 + -78 = 160 -10 + -6x = 160 + 34x + -57x Combine like terms: 34x + -57x = -23x -10 + -6x = 160 + -23x Solving -10 + -6x = 160 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -10 + -6x + 23x = 160 + -23x + 23x Combine like terms: -6x + 23x = 17x -10 + 17x = 160 + -23x + 23x Combine like terms: -23x + 23x = 0 -10 + 17x = 160 + 0 -10 + 17x = 160 Add '10' to each side of the equation. -10 + 10 + 17x = 160 + 10 Combine like terms: -10 + 10 = 0 0 + 17x = 160 + 10 17x = 160 + 10 Combine like terms: 160 + 10 = 170 17x = 170 Divide each side by '17'. x = 10 Simplifying x = 10
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