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Simplifying 4(3x + -10) + 9 = 8x + 5 Reorder the terms: 4(-10 + 3x) + 9 = 8x + 5 (-10 * 4 + 3x * 4) + 9 = 8x + 5 (-40 + 12x) + 9 = 8x + 5 Reorder the terms: -40 + 9 + 12x = 8x + 5 Combine like terms: -40 + 9 = -31 -31 + 12x = 8x + 5 Reorder the terms: -31 + 12x = 5 + 8x Solving -31 + 12x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -31 + 12x + -8x = 5 + 8x + -8x Combine like terms: 12x + -8x = 4x -31 + 4x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -31 + 4x = 5 + 0 -31 + 4x = 5 Add '31' to each side of the equation. -31 + 31 + 4x = 5 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = 5 + 31 4x = 5 + 31 Combine like terms: 5 + 31 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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