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Simplifying 1 + 7(15 + -3x) + -1(2x + 48) = -34(5 + -1x) + 18(1 + -2x) 1 + (15 * 7 + -3x * 7) + -1(2x + 48) = -34(5 + -1x) + 18(1 + -2x) 1 + (105 + -21x) + -1(2x + 48) = -34(5 + -1x) + 18(1 + -2x) Reorder the terms: 1 + 105 + -21x + -1(48 + 2x) = -34(5 + -1x) + 18(1 + -2x) 1 + 105 + -21x + (48 * -1 + 2x * -1) = -34(5 + -1x) + 18(1 + -2x) 1 + 105 + -21x + (-48 + -2x) = -34(5 + -1x) + 18(1 + -2x) Reorder the terms: 1 + 105 + -48 + -21x + -2x = -34(5 + -1x) + 18(1 + -2x) Combine like terms: 1 + 105 = 106 106 + -48 + -21x + -2x = -34(5 + -1x) + 18(1 + -2x) Combine like terms: 106 + -48 = 58 58 + -21x + -2x = -34(5 + -1x) + 18(1 + -2x) Combine like terms: -21x + -2x = -23x 58 + -23x = -34(5 + -1x) + 18(1 + -2x) 58 + -23x = (5 * -34 + -1x * -34) + 18(1 + -2x) 58 + -23x = (-170 + 34x) + 18(1 + -2x) 58 + -23x = -170 + 34x + (1 * 18 + -2x * 18) 58 + -23x = -170 + 34x + (18 + -36x) Reorder the terms: 58 + -23x = -170 + 18 + 34x + -36x Combine like terms: -170 + 18 = -152 58 + -23x = -152 + 34x + -36x Combine like terms: 34x + -36x = -2x 58 + -23x = -152 + -2x Solving 58 + -23x = -152 + -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. 58 + -23x + 2x = -152 + -2x + 2x Combine like terms: -23x + 2x = -21x 58 + -21x = -152 + -2x + 2x Combine like terms: -2x + 2x = 0 58 + -21x = -152 + 0 58 + -21x = -152 Add '-58' to each side of the equation. 58 + -58 + -21x = -152 + -58 Combine like terms: 58 + -58 = 0 0 + -21x = -152 + -58 -21x = -152 + -58 Combine like terms: -152 + -58 = -210 -21x = -210 Divide each side by '-21'. x = 10 Simplifying x = 10
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