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Simplifying 4(-3x + -10) = 2(x + 8) Reorder the terms: 4(-10 + -3x) = 2(x + 8) (-10 * 4 + -3x * 4) = 2(x + 8) (-40 + -12x) = 2(x + 8) Reorder the terms: -40 + -12x = 2(8 + x) -40 + -12x = (8 * 2 + x * 2) -40 + -12x = (16 + 2x) Solving -40 + -12x = 16 + 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 + -12x + -2x = 16 + 2x + -2x Combine like terms: -12x + -2x = -14x -40 + -14x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + -14x = 16 + 0 -40 + -14x = 16 Add '40' to each side of the equation. -40 + 40 + -14x = 16 + 40 Combine like terms: -40 + 40 = 0 0 + -14x = 16 + 40 -14x = 16 + 40 Combine like terms: 16 + 40 = 56 -14x = 56 Divide each side by '-14'. x = -4 Simplifying x = -4
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