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Simplifying 4(2x + -10) = 8(x + -5) * 3 Reorder the terms: 4(-10 + 2x) = 8(x + -5) * 3 (-10 * 4 + 2x * 4) = 8(x + -5) * 3 (-40 + 8x) = 8(x + -5) * 3 Reorder the terms: -40 + 8x = 8(-5 + x) * 3 Reorder the terms for easier multiplication: -40 + 8x = 8 * 3(-5 + x) Multiply 8 * 3 -40 + 8x = 24(-5 + x) -40 + 8x = (-5 * 24 + x * 24) -40 + 8x = (-120 + 24x) Solving -40 + 8x = -120 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -40 + 8x + -24x = -120 + 24x + -24x Combine like terms: 8x + -24x = -16x -40 + -16x = -120 + 24x + -24x Combine like terms: 24x + -24x = 0 -40 + -16x = -120 + 0 -40 + -16x = -120 Add '40' to each side of the equation. -40 + 40 + -16x = -120 + 40 Combine like terms: -40 + 40 = 0 0 + -16x = -120 + 40 -16x = -120 + 40 Combine like terms: -120 + 40 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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