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Simplifying 3(2x + -3) + -1(2x + 2) = x + -3 Reorder the terms: 3(-3 + 2x) + -1(2x + 2) = x + -3 (-3 * 3 + 2x * 3) + -1(2x + 2) = x + -3 (-9 + 6x) + -1(2x + 2) = x + -3 Reorder the terms: -9 + 6x + -1(2 + 2x) = x + -3 -9 + 6x + (2 * -1 + 2x * -1) = x + -3 -9 + 6x + (-2 + -2x) = x + -3 Reorder the terms: -9 + -2 + 6x + -2x = x + -3 Combine like terms: -9 + -2 = -11 -11 + 6x + -2x = x + -3 Combine like terms: 6x + -2x = 4x -11 + 4x = x + -3 Reorder the terms: -11 + 4x = -3 + x Solving -11 + 4x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + 4x + -1x = -3 + x + -1x Combine like terms: 4x + -1x = 3x -11 + 3x = -3 + x + -1x Combine like terms: x + -1x = 0 -11 + 3x = -3 + 0 -11 + 3x = -3 Add '11' to each side of the equation. -11 + 11 + 3x = -3 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = -3 + 11 3x = -3 + 11 Combine like terms: -3 + 11 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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