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Simplifying 5 + 2(4 + -2x) = 5x + 2(4x + -2) 5 + (4 * 2 + -2x * 2) = 5x + 2(4x + -2) 5 + (8 + -4x) = 5x + 2(4x + -2) Combine like terms: 5 + 8 = 13 13 + -4x = 5x + 2(4x + -2) Reorder the terms: 13 + -4x = 5x + 2(-2 + 4x) 13 + -4x = 5x + (-2 * 2 + 4x * 2) 13 + -4x = 5x + (-4 + 8x) Reorder the terms: 13 + -4x = -4 + 5x + 8x Combine like terms: 5x + 8x = 13x 13 + -4x = -4 + 13x Solving 13 + -4x = -4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 13 + -4x + -13x = -4 + 13x + -13x Combine like terms: -4x + -13x = -17x 13 + -17x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 13 + -17x = -4 + 0 13 + -17x = -4 Add '-13' to each side of the equation. 13 + -13 + -17x = -4 + -13 Combine like terms: 13 + -13 = 0 0 + -17x = -4 + -13 -17x = -4 + -13 Combine like terms: -4 + -13 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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