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Simplifying 4x + 5(7 + -3x) = -13 + -1(17 + -2x) 4x + (7 * 5 + -3x * 5) = -13 + -1(17 + -2x) 4x + (35 + -15x) = -13 + -1(17 + -2x) Reorder the terms: 35 + 4x + -15x = -13 + -1(17 + -2x) Combine like terms: 4x + -15x = -11x 35 + -11x = -13 + -1(17 + -2x) 35 + -11x = -13 + (17 * -1 + -2x * -1) 35 + -11x = -13 + (-17 + 2x) Combine like terms: -13 + -17 = -30 35 + -11x = -30 + 2x Solving 35 + -11x = -30 + 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. 35 + -11x + -2x = -30 + 2x + -2x Combine like terms: -11x + -2x = -13x 35 + -13x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -13x = -30 + 0 35 + -13x = -30 Add '-35' to each side of the equation. 35 + -35 + -13x = -30 + -35 Combine like terms: 35 + -35 = 0 0 + -13x = -30 + -35 -13x = -30 + -35 Combine like terms: -30 + -35 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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