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Simplifying 4(5x + -1) + -3(2x + -5) = 8(x + 1) Reorder the terms: 4(-1 + 5x) + -3(2x + -5) = 8(x + 1) (-1 * 4 + 5x * 4) + -3(2x + -5) = 8(x + 1) (-4 + 20x) + -3(2x + -5) = 8(x + 1) Reorder the terms: -4 + 20x + -3(-5 + 2x) = 8(x + 1) -4 + 20x + (-5 * -3 + 2x * -3) = 8(x + 1) -4 + 20x + (15 + -6x) = 8(x + 1) Reorder the terms: -4 + 15 + 20x + -6x = 8(x + 1) Combine like terms: -4 + 15 = 11 11 + 20x + -6x = 8(x + 1) Combine like terms: 20x + -6x = 14x 11 + 14x = 8(x + 1) Reorder the terms: 11 + 14x = 8(1 + x) 11 + 14x = (1 * 8 + x * 8) 11 + 14x = (8 + 8x) Solving 11 + 14x = 8 + 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. 11 + 14x + -8x = 8 + 8x + -8x Combine like terms: 14x + -8x = 6x 11 + 6x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + 6x = 8 + 0 11 + 6x = 8 Add '-11' to each side of the equation. 11 + -11 + 6x = 8 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 8 + -11 6x = 8 + -11 Combine like terms: 8 + -11 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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