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Simplifying 3(3 + -1x) + 5(2x + 4) = 3x + -7 (3 * 3 + -1x * 3) + 5(2x + 4) = 3x + -7 (9 + -3x) + 5(2x + 4) = 3x + -7 Reorder the terms: 9 + -3x + 5(4 + 2x) = 3x + -7 9 + -3x + (4 * 5 + 2x * 5) = 3x + -7 9 + -3x + (20 + 10x) = 3x + -7 Reorder the terms: 9 + 20 + -3x + 10x = 3x + -7 Combine like terms: 9 + 20 = 29 29 + -3x + 10x = 3x + -7 Combine like terms: -3x + 10x = 7x 29 + 7x = 3x + -7 Reorder the terms: 29 + 7x = -7 + 3x Solving 29 + 7x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 29 + 7x + -3x = -7 + 3x + -3x Combine like terms: 7x + -3x = 4x 29 + 4x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + 4x = -7 + 0 29 + 4x = -7 Add '-29' to each side of the equation. 29 + -29 + 4x = -7 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = -7 + -29 4x = -7 + -29 Combine like terms: -7 + -29 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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