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Simplifying -7x + -10 + 5x = 3(x + 4) + 8 Reorder the terms: -10 + -7x + 5x = 3(x + 4) + 8 Combine like terms: -7x + 5x = -2x -10 + -2x = 3(x + 4) + 8 Reorder the terms: -10 + -2x = 3(4 + x) + 8 -10 + -2x = (4 * 3 + x * 3) + 8 -10 + -2x = (12 + 3x) + 8 Reorder the terms: -10 + -2x = 12 + 8 + 3x Combine like terms: 12 + 8 = 20 -10 + -2x = 20 + 3x Solving -10 + -2x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + -2x + -3x = 20 + 3x + -3x Combine like terms: -2x + -3x = -5x -10 + -5x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -5x = 20 + 0 -10 + -5x = 20 Add '10' to each side of the equation. -10 + 10 + -5x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 20 + 10 -5x = 20 + 10 Combine like terms: 20 + 10 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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