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Simplifying 7(3 + -2) + 5 = 6(2x + -1) + 24 Combine like terms: 3 + -2 = 1 7(1) + 5 = 6(2x + -1) + 24 Multiply 7 * 1 7 + 5 = 6(2x + -1) + 24 Combine like terms: 7 + 5 = 12 12 = 6(2x + -1) + 24 Reorder the terms: 12 = 6(-1 + 2x) + 24 12 = (-1 * 6 + 2x * 6) + 24 12 = (-6 + 12x) + 24 Reorder the terms: 12 = -6 + 24 + 12x Combine like terms: -6 + 24 = 18 12 = 18 + 12x Solving 12 = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + -12x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -12x = 18 + 0 12 + -12x = 18 Add '-12' to each side of the equation. 12 + -12 + -12x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 18 + -12 -12x = 18 + -12 Combine like terms: 18 + -12 = 6 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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