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Simplifying 4(2x + -10) = 2x + 35 Reorder the terms: 4(-10 + 2x) = 2x + 35 (-10 * 4 + 2x * 4) = 2x + 35 (-40 + 8x) = 2x + 35 Reorder the terms: -40 + 8x = 35 + 2x Solving -40 + 8x = 35 + 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 + 8x + -2x = 35 + 2x + -2x Combine like terms: 8x + -2x = 6x -40 + 6x = 35 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 6x = 35 + 0 -40 + 6x = 35 Add '40' to each side of the equation. -40 + 40 + 6x = 35 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 35 + 40 6x = 35 + 40 Combine like terms: 35 + 40 = 75 6x = 75 Divide each side by '6'. x = 12.5 Simplifying x = 12.5
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