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Simplifying 7(8 + -3x) + -4 = 5(2x + 9) (8 * 7 + -3x * 7) + -4 = 5(2x + 9) (56 + -21x) + -4 = 5(2x + 9) Reorder the terms: 56 + -4 + -21x = 5(2x + 9) Combine like terms: 56 + -4 = 52 52 + -21x = 5(2x + 9) Reorder the terms: 52 + -21x = 5(9 + 2x) 52 + -21x = (9 * 5 + 2x * 5) 52 + -21x = (45 + 10x) Solving 52 + -21x = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 52 + -21x + -10x = 45 + 10x + -10x Combine like terms: -21x + -10x = -31x 52 + -31x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 52 + -31x = 45 + 0 52 + -31x = 45 Add '-52' to each side of the equation. 52 + -52 + -31x = 45 + -52 Combine like terms: 52 + -52 = 0 0 + -31x = 45 + -52 -31x = 45 + -52 Combine like terms: 45 + -52 = -7 -31x = -7 Divide each side by '-31'. x = 0.2258064516 Simplifying x = 0.2258064516
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