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Simplifying 8(2x + -5) = 3(6x + -2) Reorder the terms: 8(-5 + 2x) = 3(6x + -2) (-5 * 8 + 2x * 8) = 3(6x + -2) (-40 + 16x) = 3(6x + -2) Reorder the terms: -40 + 16x = 3(-2 + 6x) -40 + 16x = (-2 * 3 + 6x * 3) -40 + 16x = (-6 + 18x) Solving -40 + 16x = -6 + 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. -40 + 16x + -18x = -6 + 18x + -18x Combine like terms: 16x + -18x = -2x -40 + -2x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 -40 + -2x = -6 + 0 -40 + -2x = -6 Add '40' to each side of the equation. -40 + 40 + -2x = -6 + 40 Combine like terms: -40 + 40 = 0 0 + -2x = -6 + 40 -2x = -6 + 40 Combine like terms: -6 + 40 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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