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Simplifying -3(x + 6) + 3 = 7(x + 4) + 9 Reorder the terms: -3(6 + x) + 3 = 7(x + 4) + 9 (6 * -3 + x * -3) + 3 = 7(x + 4) + 9 (-18 + -3x) + 3 = 7(x + 4) + 9 Reorder the terms: -18 + 3 + -3x = 7(x + 4) + 9 Combine like terms: -18 + 3 = -15 -15 + -3x = 7(x + 4) + 9 Reorder the terms: -15 + -3x = 7(4 + x) + 9 -15 + -3x = (4 * 7 + x * 7) + 9 -15 + -3x = (28 + 7x) + 9 Reorder the terms: -15 + -3x = 28 + 9 + 7x Combine like terms: 28 + 9 = 37 -15 + -3x = 37 + 7x Solving -15 + -3x = 37 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + -3x + -7x = 37 + 7x + -7x Combine like terms: -3x + -7x = -10x -15 + -10x = 37 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -10x = 37 + 0 -15 + -10x = 37 Add '15' to each side of the equation. -15 + 15 + -10x = 37 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = 37 + 15 -10x = 37 + 15 Combine like terms: 37 + 15 = 52 -10x = 52 Divide each side by '-10'. x = -5.2 Simplifying x = -5.2
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