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Simplifying 9 + -2(x + -3) = 4 + 3(2x + 1) Reorder the terms: 9 + -2(-3 + x) = 4 + 3(2x + 1) 9 + (-3 * -2 + x * -2) = 4 + 3(2x + 1) 9 + (6 + -2x) = 4 + 3(2x + 1) Combine like terms: 9 + 6 = 15 15 + -2x = 4 + 3(2x + 1) Reorder the terms: 15 + -2x = 4 + 3(1 + 2x) 15 + -2x = 4 + (1 * 3 + 2x * 3) 15 + -2x = 4 + (3 + 6x) Combine like terms: 4 + 3 = 7 15 + -2x = 7 + 6x Solving 15 + -2x = 7 + 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 + -2x + -6x = 7 + 6x + -6x Combine like terms: -2x + -6x = -8x 15 + -8x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -8x = 7 + 0 15 + -8x = 7 Add '-15' to each side of the equation. 15 + -15 + -8x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 7 + -15 -8x = 7 + -15 Combine like terms: 7 + -15 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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