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Simplifying 2(x + -4) + 5 = 8x + -10 + -5x + 7 Reorder the terms: 2(-4 + x) + 5 = 8x + -10 + -5x + 7 (-4 * 2 + x * 2) + 5 = 8x + -10 + -5x + 7 (-8 + 2x) + 5 = 8x + -10 + -5x + 7 Reorder the terms: -8 + 5 + 2x = 8x + -10 + -5x + 7 Combine like terms: -8 + 5 = -3 -3 + 2x = 8x + -10 + -5x + 7 Reorder the terms: -3 + 2x = -10 + 7 + 8x + -5x Combine like terms: -10 + 7 = -3 -3 + 2x = -3 + 8x + -5x Combine like terms: 8x + -5x = 3x -3 + 2x = -3 + 3x Add '3' to each side of the equation. -3 + 3 + 2x = -3 + 3 + 3x Combine like terms: -3 + 3 = 0 0 + 2x = -3 + 3 + 3x 2x = -3 + 3 + 3x Combine like terms: -3 + 3 = 0 2x = 0 + 3x 2x = 3x Solving 2x = 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. 2x + -3x = 3x + -3x Combine like terms: 2x + -3x = -1x -1x = 3x + -3x Combine like terms: 3x + -3x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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