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Simplifying 4(x + -3) + -6 = -4(-7x + 1) + -8x Reorder the terms: 4(-3 + x) + -6 = -4(-7x + 1) + -8x (-3 * 4 + x * 4) + -6 = -4(-7x + 1) + -8x (-12 + 4x) + -6 = -4(-7x + 1) + -8x Reorder the terms: -12 + -6 + 4x = -4(-7x + 1) + -8x Combine like terms: -12 + -6 = -18 -18 + 4x = -4(-7x + 1) + -8x Reorder the terms: -18 + 4x = -4(1 + -7x) + -8x -18 + 4x = (1 * -4 + -7x * -4) + -8x -18 + 4x = (-4 + 28x) + -8x Combine like terms: 28x + -8x = 20x -18 + 4x = -4 + 20x Solving -18 + 4x = -4 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -18 + 4x + -20x = -4 + 20x + -20x Combine like terms: 4x + -20x = -16x -18 + -16x = -4 + 20x + -20x Combine like terms: 20x + -20x = 0 -18 + -16x = -4 + 0 -18 + -16x = -4 Add '18' to each side of the equation. -18 + 18 + -16x = -4 + 18 Combine like terms: -18 + 18 = 0 0 + -16x = -4 + 18 -16x = -4 + 18 Combine like terms: -4 + 18 = 14 -16x = 14 Divide each side by '-16'. x = -0.875 Simplifying x = -0.875
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