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Simplifying 2(8x + -20) = 4(10x + -4) Reorder the terms: 2(-20 + 8x) = 4(10x + -4) (-20 * 2 + 8x * 2) = 4(10x + -4) (-40 + 16x) = 4(10x + -4) Reorder the terms: -40 + 16x = 4(-4 + 10x) -40 + 16x = (-4 * 4 + 10x * 4) -40 + 16x = (-16 + 40x) Solving -40 + 16x = -16 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -40 + 16x + -40x = -16 + 40x + -40x Combine like terms: 16x + -40x = -24x -40 + -24x = -16 + 40x + -40x Combine like terms: 40x + -40x = 0 -40 + -24x = -16 + 0 -40 + -24x = -16 Add '40' to each side of the equation. -40 + 40 + -24x = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -24x = -16 + 40 -24x = -16 + 40 Combine like terms: -16 + 40 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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