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Simplifying -3x + 5 = 4x + -1(3 + 3x) Reorder the terms: 5 + -3x = 4x + -1(3 + 3x) 5 + -3x = 4x + (3 * -1 + 3x * -1) 5 + -3x = 4x + (-3 + -3x) Reorder the terms: 5 + -3x = -3 + 4x + -3x Combine like terms: 4x + -3x = 1x 5 + -3x = -3 + 1x Solving 5 + -3x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -3x + -1x = -3 + 1x + -1x Combine like terms: -3x + -1x = -4x 5 + -4x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + -4x = -3 + 0 5 + -4x = -3 Add '-5' to each side of the equation. 5 + -5 + -4x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -3 + -5 -4x = -3 + -5 Combine like terms: -3 + -5 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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