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Simplifying 4(7x + -1) + -5(3x + -10) = 12x + 15 Reorder the terms: 4(-1 + 7x) + -5(3x + -10) = 12x + 15 (-1 * 4 + 7x * 4) + -5(3x + -10) = 12x + 15 (-4 + 28x) + -5(3x + -10) = 12x + 15 Reorder the terms: -4 + 28x + -5(-10 + 3x) = 12x + 15 -4 + 28x + (-10 * -5 + 3x * -5) = 12x + 15 -4 + 28x + (50 + -15x) = 12x + 15 Reorder the terms: -4 + 50 + 28x + -15x = 12x + 15 Combine like terms: -4 + 50 = 46 46 + 28x + -15x = 12x + 15 Combine like terms: 28x + -15x = 13x 46 + 13x = 12x + 15 Reorder the terms: 46 + 13x = 15 + 12x Solving 46 + 13x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 46 + 13x + -12x = 15 + 12x + -12x Combine like terms: 13x + -12x = 1x 46 + 1x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 46 + 1x = 15 + 0 46 + 1x = 15 Add '-46' to each side of the equation. 46 + -46 + 1x = 15 + -46 Combine like terms: 46 + -46 = 0 0 + 1x = 15 + -46 1x = 15 + -46 Combine like terms: 15 + -46 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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