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Simplifying -3(x + 2) + 3 = 7(x + 4) + 6 Reorder the terms: -3(2 + x) + 3 = 7(x + 4) + 6 (2 * -3 + x * -3) + 3 = 7(x + 4) + 6 (-6 + -3x) + 3 = 7(x + 4) + 6 Reorder the terms: -6 + 3 + -3x = 7(x + 4) + 6 Combine like terms: -6 + 3 = -3 -3 + -3x = 7(x + 4) + 6 Reorder the terms: -3 + -3x = 7(4 + x) + 6 -3 + -3x = (4 * 7 + x * 7) + 6 -3 + -3x = (28 + 7x) + 6 Reorder the terms: -3 + -3x = 28 + 6 + 7x Combine like terms: 28 + 6 = 34 -3 + -3x = 34 + 7x Solving -3 + -3x = 34 + 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. -3 + -3x + -7x = 34 + 7x + -7x Combine like terms: -3x + -7x = -10x -3 + -10x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -10x = 34 + 0 -3 + -10x = 34 Add '3' to each side of the equation. -3 + 3 + -10x = 34 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 34 + 3 -10x = 34 + 3 Combine like terms: 34 + 3 = 37 -10x = 37 Divide each side by '-10'. x = -3.7 Simplifying x = -3.7
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