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Simplifying -3(x + 4) + 6 = 5(x + 2) + 2 Reorder the terms: -3(4 + x) + 6 = 5(x + 2) + 2 (4 * -3 + x * -3) + 6 = 5(x + 2) + 2 (-12 + -3x) + 6 = 5(x + 2) + 2 Reorder the terms: -12 + 6 + -3x = 5(x + 2) + 2 Combine like terms: -12 + 6 = -6 -6 + -3x = 5(x + 2) + 2 Reorder the terms: -6 + -3x = 5(2 + x) + 2 -6 + -3x = (2 * 5 + x * 5) + 2 -6 + -3x = (10 + 5x) + 2 Reorder the terms: -6 + -3x = 10 + 2 + 5x Combine like terms: 10 + 2 = 12 -6 + -3x = 12 + 5x Solving -6 + -3x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + -3x + -5x = 12 + 5x + -5x Combine like terms: -3x + -5x = -8x -6 + -8x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -8x = 12 + 0 -6 + -8x = 12 Add '6' to each side of the equation. -6 + 6 + -8x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 12 + 6 -8x = 12 + 6 Combine like terms: 12 + 6 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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