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Simplifying 5(2x + 3) + -2 = -2(x + 4) Reorder the terms: 5(3 + 2x) + -2 = -2(x + 4) (3 * 5 + 2x * 5) + -2 = -2(x + 4) (15 + 10x) + -2 = -2(x + 4) Reorder the terms: 15 + -2 + 10x = -2(x + 4) Combine like terms: 15 + -2 = 13 13 + 10x = -2(x + 4) Reorder the terms: 13 + 10x = -2(4 + x) 13 + 10x = (4 * -2 + x * -2) 13 + 10x = (-8 + -2x) Solving 13 + 10x = -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 + 10x + 2x = -8 + -2x + 2x Combine like terms: 10x + 2x = 12x 13 + 12x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 12x = -8 + 0 13 + 12x = -8 Add '-13' to each side of the equation. 13 + -13 + 12x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = -8 + -13 12x = -8 + -13 Combine like terms: -8 + -13 = -21 12x = -21 Divide each side by '12'. x = -1.75 Simplifying x = -1.75
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