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Simplifying -3(x + 2) + 3 = 7(x + 4) + 7 Reorder the terms: -3(2 + x) + 3 = 7(x + 4) + 7 (2 * -3 + x * -3) + 3 = 7(x + 4) + 7 (-6 + -3x) + 3 = 7(x + 4) + 7 Reorder the terms: -6 + 3 + -3x = 7(x + 4) + 7 Combine like terms: -6 + 3 = -3 -3 + -3x = 7(x + 4) + 7 Reorder the terms: -3 + -3x = 7(4 + x) + 7 -3 + -3x = (4 * 7 + x * 7) + 7 -3 + -3x = (28 + 7x) + 7 Reorder the terms: -3 + -3x = 28 + 7 + 7x Combine like terms: 28 + 7 = 35 -3 + -3x = 35 + 7x Solving -3 + -3x = 35 + 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 = 35 + 7x + -7x Combine like terms: -3x + -7x = -10x -3 + -10x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -10x = 35 + 0 -3 + -10x = 35 Add '3' to each side of the equation. -3 + 3 + -10x = 35 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 35 + 3 -10x = 35 + 3 Combine like terms: 35 + 3 = 38 -10x = 38 Divide each side by '-10'. x = -3.8 Simplifying x = -3.8
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