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Simplifying 4(x + 3) + -5x + -6(-3x + 2) = 6x + -8 Reorder the terms: 4(3 + x) + -5x + -6(-3x + 2) = 6x + -8 (3 * 4 + x * 4) + -5x + -6(-3x + 2) = 6x + -8 (12 + 4x) + -5x + -6(-3x + 2) = 6x + -8 Reorder the terms: 12 + 4x + -5x + -6(2 + -3x) = 6x + -8 12 + 4x + -5x + (2 * -6 + -3x * -6) = 6x + -8 12 + 4x + -5x + (-12 + 18x) = 6x + -8 Reorder the terms: 12 + -12 + 4x + -5x + 18x = 6x + -8 Combine like terms: 12 + -12 = 0 0 + 4x + -5x + 18x = 6x + -8 4x + -5x + 18x = 6x + -8 Combine like terms: 4x + -5x = -1x -1x + 18x = 6x + -8 Combine like terms: -1x + 18x = 17x 17x = 6x + -8 Reorder the terms: 17x = -8 + 6x Solving 17x = -8 + 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. 17x + -6x = -8 + 6x + -6x Combine like terms: 17x + -6x = 11x 11x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 11x = -8 + 0 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273
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