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Simplifying 2 + -3x = 4x + 5 + -1(4 + -1x) 2 + -3x = 4x + 5 + (4 * -1 + -1x * -1) 2 + -3x = 4x + 5 + (-4 + 1x) Reorder the terms: 2 + -3x = 5 + -4 + 4x + 1x Combine like terms: 5 + -4 = 1 2 + -3x = 1 + 4x + 1x Combine like terms: 4x + 1x = 5x 2 + -3x = 1 + 5x Solving 2 + -3x = 1 + 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. 2 + -3x + -5x = 1 + 5x + -5x Combine like terms: -3x + -5x = -8x 2 + -8x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -8x = 1 + 0 2 + -8x = 1 Add '-2' to each side of the equation. 2 + -2 + -8x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = 1 + -2 -8x = 1 + -2 Combine like terms: 1 + -2 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125
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