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Simplifying 6(x + -5) + 8 = 2(x + -15) Reorder the terms: 6(-5 + x) + 8 = 2(x + -15) (-5 * 6 + x * 6) + 8 = 2(x + -15) (-30 + 6x) + 8 = 2(x + -15) Reorder the terms: -30 + 8 + 6x = 2(x + -15) Combine like terms: -30 + 8 = -22 -22 + 6x = 2(x + -15) Reorder the terms: -22 + 6x = 2(-15 + x) -22 + 6x = (-15 * 2 + x * 2) -22 + 6x = (-30 + 2x) Solving -22 + 6x = -30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -22 + 6x + -2x = -30 + 2x + -2x Combine like terms: 6x + -2x = 4x -22 + 4x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 4x = -30 + 0 -22 + 4x = -30 Add '22' to each side of the equation. -22 + 22 + 4x = -30 + 22 Combine like terms: -22 + 22 = 0 0 + 4x = -30 + 22 4x = -30 + 22 Combine like terms: -30 + 22 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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