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Simplifying 5(x + -6) + -2(x + 5) = 2x + 12 Reorder the terms: 5(-6 + x) + -2(x + 5) = 2x + 12 (-6 * 5 + x * 5) + -2(x + 5) = 2x + 12 (-30 + 5x) + -2(x + 5) = 2x + 12 Reorder the terms: -30 + 5x + -2(5 + x) = 2x + 12 -30 + 5x + (5 * -2 + x * -2) = 2x + 12 -30 + 5x + (-10 + -2x) = 2x + 12 Reorder the terms: -30 + -10 + 5x + -2x = 2x + 12 Combine like terms: -30 + -10 = -40 -40 + 5x + -2x = 2x + 12 Combine like terms: 5x + -2x = 3x -40 + 3x = 2x + 12 Reorder the terms: -40 + 3x = 12 + 2x Solving -40 + 3x = 12 + 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. -40 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x -40 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 1x = 12 + 0 -40 + 1x = 12 Add '40' to each side of the equation. -40 + 40 + 1x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = 12 + 40 1x = 12 + 40 Combine like terms: 12 + 40 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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