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Simplifying 10(x + -3) = 2(x + -3) Reorder the terms: 10(-3 + x) = 2(x + -3) (-3 * 10 + x * 10) = 2(x + -3) (-30 + 10x) = 2(x + -3) Reorder the terms: -30 + 10x = 2(-3 + x) -30 + 10x = (-3 * 2 + x * 2) -30 + 10x = (-6 + 2x) Solving -30 + 10x = -6 + 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. -30 + 10x + -2x = -6 + 2x + -2x Combine like terms: 10x + -2x = 8x -30 + 8x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 8x = -6 + 0 -30 + 8x = -6 Add '30' to each side of the equation. -30 + 30 + 8x = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = -6 + 30 8x = -6 + 30 Combine like terms: -6 + 30 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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