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Simplifying -2 + 5x = 8(3x + -5) Reorder the terms: -2 + 5x = 8(-5 + 3x) -2 + 5x = (-5 * 8 + 3x * 8) -2 + 5x = (-40 + 24x) Solving -2 + 5x = -40 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -2 + 5x + -24x = -40 + 24x + -24x Combine like terms: 5x + -24x = -19x -2 + -19x = -40 + 24x + -24x Combine like terms: 24x + -24x = 0 -2 + -19x = -40 + 0 -2 + -19x = -40 Add '2' to each side of the equation. -2 + 2 + -19x = -40 + 2 Combine like terms: -2 + 2 = 0 0 + -19x = -40 + 2 -19x = -40 + 2 Combine like terms: -40 + 2 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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