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Simplifying 8(4x + -7) + -1(x + -3) = 7(x + 7) + 5 Reorder the terms: 8(-7 + 4x) + -1(x + -3) = 7(x + 7) + 5 (-7 * 8 + 4x * 8) + -1(x + -3) = 7(x + 7) + 5 (-56 + 32x) + -1(x + -3) = 7(x + 7) + 5 Reorder the terms: -56 + 32x + -1(-3 + x) = 7(x + 7) + 5 -56 + 32x + (-3 * -1 + x * -1) = 7(x + 7) + 5 -56 + 32x + (3 + -1x) = 7(x + 7) + 5 Reorder the terms: -56 + 3 + 32x + -1x = 7(x + 7) + 5 Combine like terms: -56 + 3 = -53 -53 + 32x + -1x = 7(x + 7) + 5 Combine like terms: 32x + -1x = 31x -53 + 31x = 7(x + 7) + 5 Reorder the terms: -53 + 31x = 7(7 + x) + 5 -53 + 31x = (7 * 7 + x * 7) + 5 -53 + 31x = (49 + 7x) + 5 Reorder the terms: -53 + 31x = 49 + 5 + 7x Combine like terms: 49 + 5 = 54 -53 + 31x = 54 + 7x Solving -53 + 31x = 54 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -53 + 31x + -7x = 54 + 7x + -7x Combine like terms: 31x + -7x = 24x -53 + 24x = 54 + 7x + -7x Combine like terms: 7x + -7x = 0 -53 + 24x = 54 + 0 -53 + 24x = 54 Add '53' to each side of the equation. -53 + 53 + 24x = 54 + 53 Combine like terms: -53 + 53 = 0 0 + 24x = 54 + 53 24x = 54 + 53 Combine like terms: 54 + 53 = 107 24x = 107 Divide each side by '24'. x = 4.458333333 Simplifying x = 4.458333333
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