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Simplifying 3(2x + -1) + -2(x + 5) = -1(x + -3) Reorder the terms: 3(-1 + 2x) + -2(x + 5) = -1(x + -3) (-1 * 3 + 2x * 3) + -2(x + 5) = -1(x + -3) (-3 + 6x) + -2(x + 5) = -1(x + -3) Reorder the terms: -3 + 6x + -2(5 + x) = -1(x + -3) -3 + 6x + (5 * -2 + x * -2) = -1(x + -3) -3 + 6x + (-10 + -2x) = -1(x + -3) Reorder the terms: -3 + -10 + 6x + -2x = -1(x + -3) Combine like terms: -3 + -10 = -13 -13 + 6x + -2x = -1(x + -3) Combine like terms: 6x + -2x = 4x -13 + 4x = -1(x + -3) Reorder the terms: -13 + 4x = -1(-3 + x) -13 + 4x = (-3 * -1 + x * -1) -13 + 4x = (3 + -1x) Solving -13 + 4x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -13 + 4x + x = 3 + -1x + x Combine like terms: 4x + x = 5x -13 + 5x = 3 + -1x + x Combine like terms: -1x + x = 0 -13 + 5x = 3 + 0 -13 + 5x = 3 Add '13' to each side of the equation. -13 + 13 + 5x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 3 + 13 5x = 3 + 13 Combine like terms: 3 + 13 = 16 5x = 16 Divide each side by '5'. x = 3.2 Simplifying x = 3.2
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