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Simplifying 3(5 + -2x) = 7 + -2(x + 3) (5 * 3 + -2x * 3) = 7 + -2(x + 3) (15 + -6x) = 7 + -2(x + 3) Reorder the terms: 15 + -6x = 7 + -2(3 + x) 15 + -6x = 7 + (3 * -2 + x * -2) 15 + -6x = 7 + (-6 + -2x) Combine like terms: 7 + -6 = 1 15 + -6x = 1 + -2x Solving 15 + -6x = 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. 15 + -6x + 2x = 1 + -2x + 2x Combine like terms: -6x + 2x = -4x 15 + -4x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + -4x = 1 + 0 15 + -4x = 1 Add '-15' to each side of the equation. 15 + -15 + -4x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 1 + -15 -4x = 1 + -15 Combine like terms: 1 + -15 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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