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Simplifying 4(3x + -10) = 2(2x + 3) Reorder the terms: 4(-10 + 3x) = 2(2x + 3) (-10 * 4 + 3x * 4) = 2(2x + 3) (-40 + 12x) = 2(2x + 3) Reorder the terms: -40 + 12x = 2(3 + 2x) -40 + 12x = (3 * 2 + 2x * 2) -40 + 12x = (6 + 4x) Solving -40 + 12x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -40 + 12x + -4x = 6 + 4x + -4x Combine like terms: 12x + -4x = 8x -40 + 8x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 8x = 6 + 0 -40 + 8x = 6 Add '40' to each side of the equation. -40 + 40 + 8x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 8x = 6 + 40 8x = 6 + 40 Combine like terms: 6 + 40 = 46 8x = 46 Divide each side by '8'. x = 5.75 Simplifying x = 5.75
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