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Simplifying 4(x + -8) + -6 = -6(-4x + 5) + -2x Reorder the terms: 4(-8 + x) + -6 = -6(-4x + 5) + -2x (-8 * 4 + x * 4) + -6 = -6(-4x + 5) + -2x (-32 + 4x) + -6 = -6(-4x + 5) + -2x Reorder the terms: -32 + -6 + 4x = -6(-4x + 5) + -2x Combine like terms: -32 + -6 = -38 -38 + 4x = -6(-4x + 5) + -2x Reorder the terms: -38 + 4x = -6(5 + -4x) + -2x -38 + 4x = (5 * -6 + -4x * -6) + -2x -38 + 4x = (-30 + 24x) + -2x Combine like terms: 24x + -2x = 22x -38 + 4x = -30 + 22x Solving -38 + 4x = -30 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -38 + 4x + -22x = -30 + 22x + -22x Combine like terms: 4x + -22x = -18x -38 + -18x = -30 + 22x + -22x Combine like terms: 22x + -22x = 0 -38 + -18x = -30 + 0 -38 + -18x = -30 Add '38' to each side of the equation. -38 + 38 + -18x = -30 + 38 Combine like terms: -38 + 38 = 0 0 + -18x = -30 + 38 -18x = -30 + 38 Combine like terms: -30 + 38 = 8 -18x = 8 Divide each side by '-18'. x = -0.4444444444 Simplifying x = -0.4444444444
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