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Simplifying 7x + -2(-1x + -9) = -8(-4x + -7) Reorder the terms: 7x + -2(-9 + -1x) = -8(-4x + -7) 7x + (-9 * -2 + -1x * -2) = -8(-4x + -7) 7x + (18 + 2x) = -8(-4x + -7) Reorder the terms: 18 + 7x + 2x = -8(-4x + -7) Combine like terms: 7x + 2x = 9x 18 + 9x = -8(-4x + -7) Reorder the terms: 18 + 9x = -8(-7 + -4x) 18 + 9x = (-7 * -8 + -4x * -8) 18 + 9x = (56 + 32x) Solving 18 + 9x = 56 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 18 + 9x + -32x = 56 + 32x + -32x Combine like terms: 9x + -32x = -23x 18 + -23x = 56 + 32x + -32x Combine like terms: 32x + -32x = 0 18 + -23x = 56 + 0 18 + -23x = 56 Add '-18' to each side of the equation. 18 + -18 + -23x = 56 + -18 Combine like terms: 18 + -18 = 0 0 + -23x = 56 + -18 -23x = 56 + -18 Combine like terms: 56 + -18 = 38 -23x = 38 Divide each side by '-23'. x = -1.652173913 Simplifying x = -1.652173913
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