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Simplifying 4 + -1(3x + 2x) = 5 + -1(2x + 6) Combine like terms: 3x + 2x = 5x 4 + -1(5x) = 5 + -1(2x + 6) Remove parenthesis around (5x) 4 + -1 * 5x = 5 + -1(2x + 6) Multiply -1 * 5 4 + -5x = 5 + -1(2x + 6) Reorder the terms: 4 + -5x = 5 + -1(6 + 2x) 4 + -5x = 5 + (6 * -1 + 2x * -1) 4 + -5x = 5 + (-6 + -2x) Combine like terms: 5 + -6 = -1 4 + -5x = -1 + -2x Solving 4 + -5x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + -5x + 2x = -1 + -2x + 2x Combine like terms: -5x + 2x = -3x 4 + -3x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -3x = -1 + 0 4 + -3x = -1 Add '-4' to each side of the equation. 4 + -4 + -3x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -1 + -4 -3x = -1 + -4 Combine like terms: -1 + -4 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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