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Simplifying -3(x + 4) + -7 = 5(x + 2) Reorder the terms: -3(4 + x) + -7 = 5(x + 2) (4 * -3 + x * -3) + -7 = 5(x + 2) (-12 + -3x) + -7 = 5(x + 2) Reorder the terms: -12 + -7 + -3x = 5(x + 2) Combine like terms: -12 + -7 = -19 -19 + -3x = 5(x + 2) Reorder the terms: -19 + -3x = 5(2 + x) -19 + -3x = (2 * 5 + x * 5) -19 + -3x = (10 + 5x) Solving -19 + -3x = 10 + 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. -19 + -3x + -5x = 10 + 5x + -5x Combine like terms: -3x + -5x = -8x -19 + -8x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 + -8x = 10 + 0 -19 + -8x = 10 Add '19' to each side of the equation. -19 + 19 + -8x = 10 + 19 Combine like terms: -19 + 19 = 0 0 + -8x = 10 + 19 -8x = 10 + 19 Combine like terms: 10 + 19 = 29 -8x = 29 Divide each side by '-8'. x = -3.625 Simplifying x = -3.625
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