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Simplifying 5(2x + 3) + 2 = -5 + 2(-4x + 3) + 6x Reorder the terms: 5(3 + 2x) + 2 = -5 + 2(-4x + 3) + 6x (3 * 5 + 2x * 5) + 2 = -5 + 2(-4x + 3) + 6x (15 + 10x) + 2 = -5 + 2(-4x + 3) + 6x Reorder the terms: 15 + 2 + 10x = -5 + 2(-4x + 3) + 6x Combine like terms: 15 + 2 = 17 17 + 10x = -5 + 2(-4x + 3) + 6x Reorder the terms: 17 + 10x = -5 + 2(3 + -4x) + 6x 17 + 10x = -5 + (3 * 2 + -4x * 2) + 6x 17 + 10x = -5 + (6 + -8x) + 6x Combine like terms: -5 + 6 = 1 17 + 10x = 1 + -8x + 6x Combine like terms: -8x + 6x = -2x 17 + 10x = 1 + -2x Solving 17 + 10x = 1 + -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. 17 + 10x + 2x = 1 + -2x + 2x Combine like terms: 10x + 2x = 12x 17 + 12x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 12x = 1 + 0 17 + 12x = 1 Add '-17' to each side of the equation. 17 + -17 + 12x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + 12x = 1 + -17 12x = 1 + -17 Combine like terms: 1 + -17 = -16 12x = -16 Divide each side by '12'. x = -1.333333333 Simplifying x = -1.333333333
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