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Simplifying 4(2x + -3) = -8(2x + 5) Reorder the terms: 4(-3 + 2x) = -8(2x + 5) (-3 * 4 + 2x * 4) = -8(2x + 5) (-12 + 8x) = -8(2x + 5) Reorder the terms: -12 + 8x = -8(5 + 2x) -12 + 8x = (5 * -8 + 2x * -8) -12 + 8x = (-40 + -16x) Solving -12 + 8x = -40 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -12 + 8x + 16x = -40 + -16x + 16x Combine like terms: 8x + 16x = 24x -12 + 24x = -40 + -16x + 16x Combine like terms: -16x + 16x = 0 -12 + 24x = -40 + 0 -12 + 24x = -40 Add '12' to each side of the equation. -12 + 12 + 24x = -40 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = -40 + 12 24x = -40 + 12 Combine like terms: -40 + 12 = -28 24x = -28 Divide each side by '24'. x = -1.166666667 Simplifying x = -1.166666667
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