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Simplifying 5(8x + -1) + -7(4x + 1) + 8(7 + -4x) = 19 Reorder the terms: 5(-1 + 8x) + -7(4x + 1) + 8(7 + -4x) = 19 (-1 * 5 + 8x * 5) + -7(4x + 1) + 8(7 + -4x) = 19 (-5 + 40x) + -7(4x + 1) + 8(7 + -4x) = 19 Reorder the terms: -5 + 40x + -7(1 + 4x) + 8(7 + -4x) = 19 -5 + 40x + (1 * -7 + 4x * -7) + 8(7 + -4x) = 19 -5 + 40x + (-7 + -28x) + 8(7 + -4x) = 19 -5 + 40x + -7 + -28x + (7 * 8 + -4x * 8) = 19 -5 + 40x + -7 + -28x + (56 + -32x) = 19 Reorder the terms: -5 + -7 + 56 + 40x + -28x + -32x = 19 Combine like terms: -5 + -7 = -12 -12 + 56 + 40x + -28x + -32x = 19 Combine like terms: -12 + 56 = 44 44 + 40x + -28x + -32x = 19 Combine like terms: 40x + -28x = 12x 44 + 12x + -32x = 19 Combine like terms: 12x + -32x = -20x 44 + -20x = 19 Solving 44 + -20x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -20x = 19 + -44 Combine like terms: 44 + -44 = 0 0 + -20x = 19 + -44 -20x = 19 + -44 Combine like terms: 19 + -44 = -25 -20x = -25 Divide each side by '-20'. x = 1.25 Simplifying x = 1.25
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