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Simplifying 4(2x + -10) = 3(3x + -5) + -31 Reorder the terms: 4(-10 + 2x) = 3(3x + -5) + -31 (-10 * 4 + 2x * 4) = 3(3x + -5) + -31 (-40 + 8x) = 3(3x + -5) + -31 Reorder the terms: -40 + 8x = 3(-5 + 3x) + -31 -40 + 8x = (-5 * 3 + 3x * 3) + -31 -40 + 8x = (-15 + 9x) + -31 Reorder the terms: -40 + 8x = -15 + -31 + 9x Combine like terms: -15 + -31 = -46 -40 + 8x = -46 + 9x Solving -40 + 8x = -46 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -40 + 8x + -9x = -46 + 9x + -9x Combine like terms: 8x + -9x = -1x -40 + -1x = -46 + 9x + -9x Combine like terms: 9x + -9x = 0 -40 + -1x = -46 + 0 -40 + -1x = -46 Add '40' to each side of the equation. -40 + 40 + -1x = -46 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = -46 + 40 -1x = -46 + 40 Combine like terms: -46 + 40 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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