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Simplifying -3(x + 4) + 3 = 7(x + 2) + 6 Reorder the terms: -3(4 + x) + 3 = 7(x + 2) + 6 (4 * -3 + x * -3) + 3 = 7(x + 2) + 6 (-12 + -3x) + 3 = 7(x + 2) + 6 Reorder the terms: -12 + 3 + -3x = 7(x + 2) + 6 Combine like terms: -12 + 3 = -9 -9 + -3x = 7(x + 2) + 6 Reorder the terms: -9 + -3x = 7(2 + x) + 6 -9 + -3x = (2 * 7 + x * 7) + 6 -9 + -3x = (14 + 7x) + 6 Reorder the terms: -9 + -3x = 14 + 6 + 7x Combine like terms: 14 + 6 = 20 -9 + -3x = 20 + 7x Solving -9 + -3x = 20 + 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. -9 + -3x + -7x = 20 + 7x + -7x Combine like terms: -3x + -7x = -10x -9 + -10x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -10x = 20 + 0 -9 + -10x = 20 Add '9' to each side of the equation. -9 + 9 + -10x = 20 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = 20 + 9 -10x = 20 + 9 Combine like terms: 20 + 9 = 29 -10x = 29 Divide each side by '-10'. x = -2.9 Simplifying x = -2.9
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