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Simplifying 4(6x + -4) + 4(x + 3) = 5(x + 8) + -1(x + 7) Reorder the terms: 4(-4 + 6x) + 4(x + 3) = 5(x + 8) + -1(x + 7) (-4 * 4 + 6x * 4) + 4(x + 3) = 5(x + 8) + -1(x + 7) (-16 + 24x) + 4(x + 3) = 5(x + 8) + -1(x + 7) Reorder the terms: -16 + 24x + 4(3 + x) = 5(x + 8) + -1(x + 7) -16 + 24x + (3 * 4 + x * 4) = 5(x + 8) + -1(x + 7) -16 + 24x + (12 + 4x) = 5(x + 8) + -1(x + 7) Reorder the terms: -16 + 12 + 24x + 4x = 5(x + 8) + -1(x + 7) Combine like terms: -16 + 12 = -4 -4 + 24x + 4x = 5(x + 8) + -1(x + 7) Combine like terms: 24x + 4x = 28x -4 + 28x = 5(x + 8) + -1(x + 7) Reorder the terms: -4 + 28x = 5(8 + x) + -1(x + 7) -4 + 28x = (8 * 5 + x * 5) + -1(x + 7) -4 + 28x = (40 + 5x) + -1(x + 7) Reorder the terms: -4 + 28x = 40 + 5x + -1(7 + x) -4 + 28x = 40 + 5x + (7 * -1 + x * -1) -4 + 28x = 40 + 5x + (-7 + -1x) Reorder the terms: -4 + 28x = 40 + -7 + 5x + -1x Combine like terms: 40 + -7 = 33 -4 + 28x = 33 + 5x + -1x Combine like terms: 5x + -1x = 4x -4 + 28x = 33 + 4x Solving -4 + 28x = 33 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 28x + -4x = 33 + 4x + -4x Combine like terms: 28x + -4x = 24x -4 + 24x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 24x = 33 + 0 -4 + 24x = 33 Add '4' to each side of the equation. -4 + 4 + 24x = 33 + 4 Combine like terms: -4 + 4 = 0 0 + 24x = 33 + 4 24x = 33 + 4 Combine like terms: 33 + 4 = 37 24x = 37 Divide each side by '24'. x = 1.541666667 Simplifying x = 1.541666667
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