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Simplifying -3(2x + 3) + -2 = -2(x + 1) + 3x Reorder the terms: -3(3 + 2x) + -2 = -2(x + 1) + 3x (3 * -3 + 2x * -3) + -2 = -2(x + 1) + 3x (-9 + -6x) + -2 = -2(x + 1) + 3x Reorder the terms: -9 + -2 + -6x = -2(x + 1) + 3x Combine like terms: -9 + -2 = -11 -11 + -6x = -2(x + 1) + 3x Reorder the terms: -11 + -6x = -2(1 + x) + 3x -11 + -6x = (1 * -2 + x * -2) + 3x -11 + -6x = (-2 + -2x) + 3x Combine like terms: -2x + 3x = 1x -11 + -6x = -2 + 1x Solving -11 + -6x = -2 + 1x 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 + -6x + -1x = -2 + 1x + -1x Combine like terms: -6x + -1x = -7x -11 + -7x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 -11 + -7x = -2 + 0 -11 + -7x = -2 Add '11' to each side of the equation. -11 + 11 + -7x = -2 + 11 Combine like terms: -11 + 11 = 0 0 + -7x = -2 + 11 -7x = -2 + 11 Combine like terms: -2 + 11 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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