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Simplifying 3(x + -4) + 7 = 5(x + 2) + -8 Reorder the terms: 3(-4 + x) + 7 = 5(x + 2) + -8 (-4 * 3 + x * 3) + 7 = 5(x + 2) + -8 (-12 + 3x) + 7 = 5(x + 2) + -8 Reorder the terms: -12 + 7 + 3x = 5(x + 2) + -8 Combine like terms: -12 + 7 = -5 -5 + 3x = 5(x + 2) + -8 Reorder the terms: -5 + 3x = 5(2 + x) + -8 -5 + 3x = (2 * 5 + x * 5) + -8 -5 + 3x = (10 + 5x) + -8 Reorder the terms: -5 + 3x = 10 + -8 + 5x Combine like terms: 10 + -8 = 2 -5 + 3x = 2 + 5x Solving -5 + 3x = 2 + 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. -5 + 3x + -5x = 2 + 5x + -5x Combine like terms: 3x + -5x = -2x -5 + -2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -2x = 2 + 0 -5 + -2x = 2 Add '5' to each side of the equation. -5 + 5 + -2x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 2 + 5 -2x = 2 + 5 Combine like terms: 2 + 5 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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