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Simplifying 3 + 5(2 + -1x) = -2(x + 4) 3 + (2 * 5 + -1x * 5) = -2(x + 4) 3 + (10 + -5x) = -2(x + 4) Combine like terms: 3 + 10 = 13 13 + -5x = -2(x + 4) Reorder the terms: 13 + -5x = -2(4 + x) 13 + -5x = (4 * -2 + x * -2) 13 + -5x = (-8 + -2x) Solving 13 + -5x = -8 + -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. 13 + -5x + 2x = -8 + -2x + 2x Combine like terms: -5x + 2x = -3x 13 + -3x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + -3x = -8 + 0 13 + -3x = -8 Add '-13' to each side of the equation. 13 + -13 + -3x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -8 + -13 -3x = -8 + -13 Combine like terms: -8 + -13 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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