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Simplifying -4(7 + 3x) = -5(2x + 8) (7 * -4 + 3x * -4) = -5(2x + 8) (-28 + -12x) = -5(2x + 8) Reorder the terms: -28 + -12x = -5(8 + 2x) -28 + -12x = (8 * -5 + 2x * -5) -28 + -12x = (-40 + -10x) Solving -28 + -12x = -40 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -28 + -12x + 10x = -40 + -10x + 10x Combine like terms: -12x + 10x = -2x -28 + -2x = -40 + -10x + 10x Combine like terms: -10x + 10x = 0 -28 + -2x = -40 + 0 -28 + -2x = -40 Add '28' to each side of the equation. -28 + 28 + -2x = -40 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = -40 + 28 -2x = -40 + 28 Combine like terms: -40 + 28 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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