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Simplifying 3(3x + -2) + 2(2x + -1) = 4(x + -12) + -2 Reorder the terms: 3(-2 + 3x) + 2(2x + -1) = 4(x + -12) + -2 (-2 * 3 + 3x * 3) + 2(2x + -1) = 4(x + -12) + -2 (-6 + 9x) + 2(2x + -1) = 4(x + -12) + -2 Reorder the terms: -6 + 9x + 2(-1 + 2x) = 4(x + -12) + -2 -6 + 9x + (-1 * 2 + 2x * 2) = 4(x + -12) + -2 -6 + 9x + (-2 + 4x) = 4(x + -12) + -2 Reorder the terms: -6 + -2 + 9x + 4x = 4(x + -12) + -2 Combine like terms: -6 + -2 = -8 -8 + 9x + 4x = 4(x + -12) + -2 Combine like terms: 9x + 4x = 13x -8 + 13x = 4(x + -12) + -2 Reorder the terms: -8 + 13x = 4(-12 + x) + -2 -8 + 13x = (-12 * 4 + x * 4) + -2 -8 + 13x = (-48 + 4x) + -2 Reorder the terms: -8 + 13x = -48 + -2 + 4x Combine like terms: -48 + -2 = -50 -8 + 13x = -50 + 4x Solving -8 + 13x = -50 + 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. -8 + 13x + -4x = -50 + 4x + -4x Combine like terms: 13x + -4x = 9x -8 + 9x = -50 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 9x = -50 + 0 -8 + 9x = -50 Add '8' to each side of the equation. -8 + 8 + 9x = -50 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = -50 + 8 9x = -50 + 8 Combine like terms: -50 + 8 = -42 9x = -42 Divide each side by '9'. x = -4.666666667 Simplifying x = -4.666666667
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