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Simplifying 2x + 7(3x + 4) = 5x + -2(-5x + -9) Reorder the terms: 2x + 7(4 + 3x) = 5x + -2(-5x + -9) 2x + (4 * 7 + 3x * 7) = 5x + -2(-5x + -9) 2x + (28 + 21x) = 5x + -2(-5x + -9) Reorder the terms: 28 + 2x + 21x = 5x + -2(-5x + -9) Combine like terms: 2x + 21x = 23x 28 + 23x = 5x + -2(-5x + -9) Reorder the terms: 28 + 23x = 5x + -2(-9 + -5x) 28 + 23x = 5x + (-9 * -2 + -5x * -2) 28 + 23x = 5x + (18 + 10x) Reorder the terms: 28 + 23x = 18 + 5x + 10x Combine like terms: 5x + 10x = 15x 28 + 23x = 18 + 15x Solving 28 + 23x = 18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 28 + 23x + -15x = 18 + 15x + -15x Combine like terms: 23x + -15x = 8x 28 + 8x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 28 + 8x = 18 + 0 28 + 8x = 18 Add '-28' to each side of the equation. 28 + -28 + 8x = 18 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = 18 + -28 8x = 18 + -28 Combine like terms: 18 + -28 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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