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Simplifying 3(x + -6) + -2 = -4(-4x + 7) + -1x Reorder the terms: 3(-6 + x) + -2 = -4(-4x + 7) + -1x (-6 * 3 + x * 3) + -2 = -4(-4x + 7) + -1x (-18 + 3x) + -2 = -4(-4x + 7) + -1x Reorder the terms: -18 + -2 + 3x = -4(-4x + 7) + -1x Combine like terms: -18 + -2 = -20 -20 + 3x = -4(-4x + 7) + -1x Reorder the terms: -20 + 3x = -4(7 + -4x) + -1x -20 + 3x = (7 * -4 + -4x * -4) + -1x -20 + 3x = (-28 + 16x) + -1x Combine like terms: 16x + -1x = 15x -20 + 3x = -28 + 15x Solving -20 + 3x = -28 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -20 + 3x + -15x = -28 + 15x + -15x Combine like terms: 3x + -15x = -12x -20 + -12x = -28 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 + -12x = -28 + 0 -20 + -12x = -28 Add '20' to each side of the equation. -20 + 20 + -12x = -28 + 20 Combine like terms: -20 + 20 = 0 0 + -12x = -28 + 20 -12x = -28 + 20 Combine like terms: -28 + 20 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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