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Simplifying 8(3x + -5) = -18 + 2x Reorder the terms: 8(-5 + 3x) = -18 + 2x (-5 * 8 + 3x * 8) = -18 + 2x (-40 + 24x) = -18 + 2x Solving -40 + 24x = -18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + 24x + -2x = -18 + 2x + -2x Combine like terms: 24x + -2x = 22x -40 + 22x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 22x = -18 + 0 -40 + 22x = -18 Add '40' to each side of the equation. -40 + 40 + 22x = -18 + 40 Combine like terms: -40 + 40 = 0 0 + 22x = -18 + 40 22x = -18 + 40 Combine like terms: -18 + 40 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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