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Simplifying 2(x + -8) + 9 = 3(4 + -1x) + -4 Reorder the terms: 2(-8 + x) + 9 = 3(4 + -1x) + -4 (-8 * 2 + x * 2) + 9 = 3(4 + -1x) + -4 (-16 + 2x) + 9 = 3(4 + -1x) + -4 Reorder the terms: -16 + 9 + 2x = 3(4 + -1x) + -4 Combine like terms: -16 + 9 = -7 -7 + 2x = 3(4 + -1x) + -4 -7 + 2x = (4 * 3 + -1x * 3) + -4 -7 + 2x = (12 + -3x) + -4 Reorder the terms: -7 + 2x = 12 + -4 + -3x Combine like terms: 12 + -4 = 8 -7 + 2x = 8 + -3x Solving -7 + 2x = 8 + -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. -7 + 2x + 3x = 8 + -3x + 3x Combine like terms: 2x + 3x = 5x -7 + 5x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 5x = 8 + 0 -7 + 5x = 8 Add '7' to each side of the equation. -7 + 7 + 5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 8 + 7 5x = 8 + 7 Combine like terms: 8 + 7 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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