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Simplifying 3(2x + -3) + -2x = 8 + -2(3x + 1) Reorder the terms: 3(-3 + 2x) + -2x = 8 + -2(3x + 1) (-3 * 3 + 2x * 3) + -2x = 8 + -2(3x + 1) (-9 + 6x) + -2x = 8 + -2(3x + 1) Combine like terms: 6x + -2x = 4x -9 + 4x = 8 + -2(3x + 1) Reorder the terms: -9 + 4x = 8 + -2(1 + 3x) -9 + 4x = 8 + (1 * -2 + 3x * -2) -9 + 4x = 8 + (-2 + -6x) Combine like terms: 8 + -2 = 6 -9 + 4x = 6 + -6x Solving -9 + 4x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -9 + 4x + 6x = 6 + -6x + 6x Combine like terms: 4x + 6x = 10x -9 + 10x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 10x = 6 + 0 -9 + 10x = 6 Add '9' to each side of the equation. -9 + 9 + 10x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 6 + 9 10x = 6 + 9 Combine like terms: 6 + 9 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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