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Simplifying 4(7x + -10) + -8(2 + -7x) + 5(-2x + 4) = -7(2 + -9x) Reorder the terms: 4(-10 + 7x) + -8(2 + -7x) + 5(-2x + 4) = -7(2 + -9x) (-10 * 4 + 7x * 4) + -8(2 + -7x) + 5(-2x + 4) = -7(2 + -9x) (-40 + 28x) + -8(2 + -7x) + 5(-2x + 4) = -7(2 + -9x) -40 + 28x + (2 * -8 + -7x * -8) + 5(-2x + 4) = -7(2 + -9x) -40 + 28x + (-16 + 56x) + 5(-2x + 4) = -7(2 + -9x) Reorder the terms: -40 + 28x + -16 + 56x + 5(4 + -2x) = -7(2 + -9x) -40 + 28x + -16 + 56x + (4 * 5 + -2x * 5) = -7(2 + -9x) -40 + 28x + -16 + 56x + (20 + -10x) = -7(2 + -9x) Reorder the terms: -40 + -16 + 20 + 28x + 56x + -10x = -7(2 + -9x) Combine like terms: -40 + -16 = -56 -56 + 20 + 28x + 56x + -10x = -7(2 + -9x) Combine like terms: -56 + 20 = -36 -36 + 28x + 56x + -10x = -7(2 + -9x) Combine like terms: 28x + 56x = 84x -36 + 84x + -10x = -7(2 + -9x) Combine like terms: 84x + -10x = 74x -36 + 74x = -7(2 + -9x) -36 + 74x = (2 * -7 + -9x * -7) -36 + 74x = (-14 + 63x) Solving -36 + 74x = -14 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -36 + 74x + -63x = -14 + 63x + -63x Combine like terms: 74x + -63x = 11x -36 + 11x = -14 + 63x + -63x Combine like terms: 63x + -63x = 0 -36 + 11x = -14 + 0 -36 + 11x = -14 Add '36' to each side of the equation. -36 + 36 + 11x = -14 + 36 Combine like terms: -36 + 36 = 0 0 + 11x = -14 + 36 11x = -14 + 36 Combine like terms: -14 + 36 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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