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Simplifying 4.22 + -3.13(x + -1) = 5.2(2x + 1) + -11.38 Reorder the terms: 4.22 + -3.13(-1 + x) = 5.2(2x + 1) + -11.38 4.22 + (-1 * -3.13 + x * -3.13) = 5.2(2x + 1) + -11.38 4.22 + (3.13 + -3.13x) = 5.2(2x + 1) + -11.38 Combine like terms: 4.22 + 3.13 = 7.35 7.35 + -3.13x = 5.2(2x + 1) + -11.38 Reorder the terms: 7.35 + -3.13x = 5.2(1 + 2x) + -11.38 7.35 + -3.13x = (1 * 5.2 + 2x * 5.2) + -11.38 7.35 + -3.13x = (5.2 + 10.4x) + -11.38 Reorder the terms: 7.35 + -3.13x = 5.2 + -11.38 + 10.4x Combine like terms: 5.2 + -11.38 = -6.18 7.35 + -3.13x = -6.18 + 10.4x Solving 7.35 + -3.13x = -6.18 + 10.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.4x' to each side of the equation. 7.35 + -3.13x + -10.4x = -6.18 + 10.4x + -10.4x Combine like terms: -3.13x + -10.4x = -13.53x 7.35 + -13.53x = -6.18 + 10.4x + -10.4x Combine like terms: 10.4x + -10.4x = 0.0 7.35 + -13.53x = -6.18 + 0.0 7.35 + -13.53x = -6.18 Add '-7.35' to each side of the equation. 7.35 + -7.35 + -13.53x = -6.18 + -7.35 Combine like terms: 7.35 + -7.35 = 0.00 0.00 + -13.53x = -6.18 + -7.35 -13.53x = -6.18 + -7.35 Combine like terms: -6.18 + -7.35 = -13.53 -13.53x = -13.53 Divide each side by '-13.53'. x = 1 Simplifying x = 1
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