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Simplifying 4(2x + -6) + -8 = 5 + -1(x + -7) Reorder the terms: 4(-6 + 2x) + -8 = 5 + -1(x + -7) (-6 * 4 + 2x * 4) + -8 = 5 + -1(x + -7) (-24 + 8x) + -8 = 5 + -1(x + -7) Reorder the terms: -24 + -8 + 8x = 5 + -1(x + -7) Combine like terms: -24 + -8 = -32 -32 + 8x = 5 + -1(x + -7) Reorder the terms: -32 + 8x = 5 + -1(-7 + x) -32 + 8x = 5 + (-7 * -1 + x * -1) -32 + 8x = 5 + (7 + -1x) Combine like terms: 5 + 7 = 12 -32 + 8x = 12 + -1x Solving -32 + 8x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -32 + 8x + x = 12 + -1x + x Combine like terms: 8x + x = 9x -32 + 9x = 12 + -1x + x Combine like terms: -1x + x = 0 -32 + 9x = 12 + 0 -32 + 9x = 12 Add '32' to each side of the equation. -32 + 32 + 9x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + 9x = 12 + 32 9x = 12 + 32 Combine like terms: 12 + 32 = 44 9x = 44 Divide each side by '9'. x = 4.888888889 Simplifying x = 4.888888889
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