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Simplifying -3(x + -1) = 4(x + -2) + 2 Reorder the terms: -3(-1 + x) = 4(x + -2) + 2 (-1 * -3 + x * -3) = 4(x + -2) + 2 (3 + -3x) = 4(x + -2) + 2 Reorder the terms: 3 + -3x = 4(-2 + x) + 2 3 + -3x = (-2 * 4 + x * 4) + 2 3 + -3x = (-8 + 4x) + 2 Reorder the terms: 3 + -3x = -8 + 2 + 4x Combine like terms: -8 + 2 = -6 3 + -3x = -6 + 4x Solving 3 + -3x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + -3x + -4x = -6 + 4x + -4x Combine like terms: -3x + -4x = -7x 3 + -7x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -7x = -6 + 0 3 + -7x = -6 Add '-3' to each side of the equation. 3 + -3 + -7x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -6 + -3 -7x = -6 + -3 Combine like terms: -6 + -3 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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