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Simplifying 7x + -8 = (4x + 5(8x + -6) + -4(2x + -1x + 6)) Reorder the terms: -8 + 7x = (4x + 5(8x + -6) + -4(2x + -1x + 6)) Reorder the terms: -8 + 7x = (4x + 5(-6 + 8x) + -4(2x + -1x + 6)) -8 + 7x = (4x + (-6 * 5 + 8x * 5) + -4(2x + -1x + 6)) -8 + 7x = (4x + (-30 + 40x) + -4(2x + -1x + 6)) Reorder the terms: -8 + 7x = (4x + -30 + 40x + -4(6 + 2x + -1x)) Combine like terms: 2x + -1x = 1x -8 + 7x = (4x + -30 + 40x + -4(6 + 1x)) -8 + 7x = (4x + -30 + 40x + (6 * -4 + 1x * -4)) -8 + 7x = (4x + -30 + 40x + (-24 + -4x)) Reorder the terms: -8 + 7x = (-30 + -24 + 4x + 40x + -4x) Combine like terms: -30 + -24 = -54 -8 + 7x = (-54 + 4x + 40x + -4x) Combine like terms: 4x + 40x = 44x -8 + 7x = (-54 + 44x + -4x) Combine like terms: 44x + -4x = 40x -8 + 7x = (-54 + 40x) Remove parenthesis around (-54 + 40x) -8 + 7x = -54 + 40x Solving -8 + 7x = -54 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -8 + 7x + -40x = -54 + 40x + -40x Combine like terms: 7x + -40x = -33x -8 + -33x = -54 + 40x + -40x Combine like terms: 40x + -40x = 0 -8 + -33x = -54 + 0 -8 + -33x = -54 Add '8' to each side of the equation. -8 + 8 + -33x = -54 + 8 Combine like terms: -8 + 8 = 0 0 + -33x = -54 + 8 -33x = -54 + 8 Combine like terms: -54 + 8 = -46 -33x = -46 Divide each side by '-33'. x = 1.393939394 Simplifying x = 1.393939394
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