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Simplifying 5(x + -2) + -6(2x + -3) = x + 24 Reorder the terms: 5(-2 + x) + -6(2x + -3) = x + 24 (-2 * 5 + x * 5) + -6(2x + -3) = x + 24 (-10 + 5x) + -6(2x + -3) = x + 24 Reorder the terms: -10 + 5x + -6(-3 + 2x) = x + 24 -10 + 5x + (-3 * -6 + 2x * -6) = x + 24 -10 + 5x + (18 + -12x) = x + 24 Reorder the terms: -10 + 18 + 5x + -12x = x + 24 Combine like terms: -10 + 18 = 8 8 + 5x + -12x = x + 24 Combine like terms: 5x + -12x = -7x 8 + -7x = x + 24 Reorder the terms: 8 + -7x = 24 + x Solving 8 + -7x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + -7x + -1x = 24 + x + -1x Combine like terms: -7x + -1x = -8x 8 + -8x = 24 + x + -1x Combine like terms: x + -1x = 0 8 + -8x = 24 + 0 8 + -8x = 24 Add '-8' to each side of the equation. 8 + -8 + -8x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 24 + -8 -8x = 24 + -8 Combine like terms: 24 + -8 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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