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Simplifying -8(x + 5) + -1(8 + 9x) = -18x Reorder the terms: -8(5 + x) + -1(8 + 9x) = -18x (5 * -8 + x * -8) + -1(8 + 9x) = -18x (-40 + -8x) + -1(8 + 9x) = -18x -40 + -8x + (8 * -1 + 9x * -1) = -18x -40 + -8x + (-8 + -9x) = -18x Reorder the terms: -40 + -8 + -8x + -9x = -18x Combine like terms: -40 + -8 = -48 -48 + -8x + -9x = -18x Combine like terms: -8x + -9x = -17x -48 + -17x = -18x Solving -48 + -17x = -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -48 + -17x + 18x = -18x + 18x Combine like terms: -17x + 18x = 1x -48 + 1x = -18x + 18x Combine like terms: -18x + 18x = 0 -48 + 1x = 0 Add '48' to each side of the equation. -48 + 48 + 1x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = 0 + 48 1x = 0 + 48 Combine like terms: 0 + 48 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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