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Simplifying 6 + -1(x + 2) = 5(3x + -4) Reorder the terms: 6 + -1(2 + x) = 5(3x + -4) 6 + (2 * -1 + x * -1) = 5(3x + -4) 6 + (-2 + -1x) = 5(3x + -4) Combine like terms: 6 + -2 = 4 4 + -1x = 5(3x + -4) Reorder the terms: 4 + -1x = 5(-4 + 3x) 4 + -1x = (-4 * 5 + 3x * 5) 4 + -1x = (-20 + 15x) Solving 4 + -1x = -20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 4 + -1x + -15x = -20 + 15x + -15x Combine like terms: -1x + -15x = -16x 4 + -16x = -20 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -16x = -20 + 0 4 + -16x = -20 Add '-4' to each side of the equation. 4 + -4 + -16x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -16x = -20 + -4 -16x = -20 + -4 Combine like terms: -20 + -4 = -24 -16x = -24 Divide each side by '-16'. x = 1.5 Simplifying x = 1.5
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