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Simplifying 5(2x + -6) + -3 = 5(x + -2) + 12 Reorder the terms: 5(-6 + 2x) + -3 = 5(x + -2) + 12 (-6 * 5 + 2x * 5) + -3 = 5(x + -2) + 12 (-30 + 10x) + -3 = 5(x + -2) + 12 Reorder the terms: -30 + -3 + 10x = 5(x + -2) + 12 Combine like terms: -30 + -3 = -33 -33 + 10x = 5(x + -2) + 12 Reorder the terms: -33 + 10x = 5(-2 + x) + 12 -33 + 10x = (-2 * 5 + x * 5) + 12 -33 + 10x = (-10 + 5x) + 12 Reorder the terms: -33 + 10x = -10 + 12 + 5x Combine like terms: -10 + 12 = 2 -33 + 10x = 2 + 5x Solving -33 + 10x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -33 + 10x + -5x = 2 + 5x + -5x Combine like terms: 10x + -5x = 5x -33 + 5x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -33 + 5x = 2 + 0 -33 + 5x = 2 Add '33' to each side of the equation. -33 + 33 + 5x = 2 + 33 Combine like terms: -33 + 33 = 0 0 + 5x = 2 + 33 5x = 2 + 33 Combine like terms: 2 + 33 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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