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Simplifying 3(2x + -3) = x + -1(3x + 10) Reorder the terms: 3(-3 + 2x) = x + -1(3x + 10) (-3 * 3 + 2x * 3) = x + -1(3x + 10) (-9 + 6x) = x + -1(3x + 10) Reorder the terms: -9 + 6x = x + -1(10 + 3x) -9 + 6x = x + (10 * -1 + 3x * -1) -9 + 6x = x + (-10 + -3x) Reorder the terms: -9 + 6x = -10 + x + -3x Combine like terms: x + -3x = -2x -9 + 6x = -10 + -2x Solving -9 + 6x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 6x + 2x = -10 + -2x + 2x Combine like terms: 6x + 2x = 8x -9 + 8x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 8x = -10 + 0 -9 + 8x = -10 Add '9' to each side of the equation. -9 + 9 + 8x = -10 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = -10 + 9 8x = -10 + 9 Combine like terms: -10 + 9 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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