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Simplifying 5(3 + -2x) + 2x = 6 + -2(3x + -1) (3 * 5 + -2x * 5) + 2x = 6 + -2(3x + -1) (15 + -10x) + 2x = 6 + -2(3x + -1) Combine like terms: -10x + 2x = -8x 15 + -8x = 6 + -2(3x + -1) Reorder the terms: 15 + -8x = 6 + -2(-1 + 3x) 15 + -8x = 6 + (-1 * -2 + 3x * -2) 15 + -8x = 6 + (2 + -6x) Combine like terms: 6 + 2 = 8 15 + -8x = 8 + -6x Solving 15 + -8x = 8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + -8x + 6x = 8 + -6x + 6x Combine like terms: -8x + 6x = -2x 15 + -2x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + -2x = 8 + 0 15 + -2x = 8 Add '-15' to each side of the equation. 15 + -15 + -2x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 8 + -15 -2x = 8 + -15 Combine like terms: 8 + -15 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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