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Simplifying 7(4x + 5) = 8(x + -3) + -3 Reorder the terms: 7(5 + 4x) = 8(x + -3) + -3 (5 * 7 + 4x * 7) = 8(x + -3) + -3 (35 + 28x) = 8(x + -3) + -3 Reorder the terms: 35 + 28x = 8(-3 + x) + -3 35 + 28x = (-3 * 8 + x * 8) + -3 35 + 28x = (-24 + 8x) + -3 Reorder the terms: 35 + 28x = -24 + -3 + 8x Combine like terms: -24 + -3 = -27 35 + 28x = -27 + 8x Solving 35 + 28x = -27 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 28x + -8x = -27 + 8x + -8x Combine like terms: 28x + -8x = 20x 35 + 20x = -27 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 20x = -27 + 0 35 + 20x = -27 Add '-35' to each side of the equation. 35 + -35 + 20x = -27 + -35 Combine like terms: 35 + -35 = 0 0 + 20x = -27 + -35 20x = -27 + -35 Combine like terms: -27 + -35 = -62 20x = -62 Divide each side by '20'. x = -3.1 Simplifying x = -3.1
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