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