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Simplifying 3x + 5 = 4x + -2(4 + -1x) Reorder the terms: 5 + 3x = 4x + -2(4 + -1x) 5 + 3x = 4x + (4 * -2 + -1x * -2) 5 + 3x = 4x + (-8 + 2x) Reorder the terms: 5 + 3x = -8 + 4x + 2x Combine like terms: 4x + 2x = 6x 5 + 3x = -8 + 6x Solving 5 + 3x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 3x + -6x = -8 + 6x + -6x Combine like terms: 3x + -6x = -3x 5 + -3x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -3x = -8 + 0 5 + -3x = -8 Add '-5' to each side of the equation. 5 + -5 + -3x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -8 + -5 -3x = -8 + -5 Combine like terms: -8 + -5 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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