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Simplifying 3(x + -4) + -6 = -4(-4x + 1) + -5x Reorder the terms: 3(-4 + x) + -6 = -4(-4x + 1) + -5x (-4 * 3 + x * 3) + -6 = -4(-4x + 1) + -5x (-12 + 3x) + -6 = -4(-4x + 1) + -5x Reorder the terms: -12 + -6 + 3x = -4(-4x + 1) + -5x Combine like terms: -12 + -6 = -18 -18 + 3x = -4(-4x + 1) + -5x Reorder the terms: -18 + 3x = -4(1 + -4x) + -5x -18 + 3x = (1 * -4 + -4x * -4) + -5x -18 + 3x = (-4 + 16x) + -5x Combine like terms: 16x + -5x = 11x -18 + 3x = -4 + 11x Solving -18 + 3x = -4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -18 + 3x + -11x = -4 + 11x + -11x Combine like terms: 3x + -11x = -8x -18 + -8x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 -18 + -8x = -4 + 0 -18 + -8x = -4 Add '18' to each side of the equation. -18 + 18 + -8x = -4 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = -4 + 18 -8x = -4 + 18 Combine like terms: -4 + 18 = 14 -8x = 14 Divide each side by '-8'. x = -1.75 Simplifying x = -1.75
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