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