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Simplifying 4(x + 3) + 9(5 + -7x) = -4x + 2x Reorder the terms: 4(3 + x) + 9(5 + -7x) = -4x + 2x (3 * 4 + x * 4) + 9(5 + -7x) = -4x + 2x (12 + 4x) + 9(5 + -7x) = -4x + 2x 12 + 4x + (5 * 9 + -7x * 9) = -4x + 2x 12 + 4x + (45 + -63x) = -4x + 2x Reorder the terms: 12 + 45 + 4x + -63x = -4x + 2x Combine like terms: 12 + 45 = 57 57 + 4x + -63x = -4x + 2x Combine like terms: 4x + -63x = -59x 57 + -59x = -4x + 2x Combine like terms: -4x + 2x = -2x 57 + -59x = -2x Solving 57 + -59x = -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. 57 + -59x + 2x = -2x + 2x Combine like terms: -59x + 2x = -57x 57 + -57x = -2x + 2x Combine like terms: -2x + 2x = 0 57 + -57x = 0 Add '-57' to each side of the equation. 57 + -57 + -57x = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -57x = 0 + -57 -57x = 0 + -57 Combine like terms: 0 + -57 = -57 -57x = -57 Divide each side by '-57'. x = 1 Simplifying x = 1
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