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Simplifying 5 + -1(3x + 4) = 3(x + -2) Reorder the terms: 5 + -1(4 + 3x) = 3(x + -2) 5 + (4 * -1 + 3x * -1) = 3(x + -2) 5 + (-4 + -3x) = 3(x + -2) Combine like terms: 5 + -4 = 1 1 + -3x = 3(x + -2) Reorder the terms: 1 + -3x = 3(-2 + x) 1 + -3x = (-2 * 3 + x * 3) 1 + -3x = (-6 + 3x) Solving 1 + -3x = -6 + 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. 1 + -3x + -3x = -6 + 3x + -3x Combine like terms: -3x + -3x = -6x 1 + -6x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -6x = -6 + 0 1 + -6x = -6 Add '-1' to each side of the equation. 1 + -1 + -6x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -6 + -1 -6x = -6 + -1 Combine like terms: -6 + -1 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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