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Simplifying 2(5 + -4x) + -5(-3x + 8) = x + 7 + -7 (5 * 2 + -4x * 2) + -5(-3x + 8) = x + 7 + -7 (10 + -8x) + -5(-3x + 8) = x + 7 + -7 Reorder the terms: 10 + -8x + -5(8 + -3x) = x + 7 + -7 10 + -8x + (8 * -5 + -3x * -5) = x + 7 + -7 10 + -8x + (-40 + 15x) = x + 7 + -7 Reorder the terms: 10 + -40 + -8x + 15x = x + 7 + -7 Combine like terms: 10 + -40 = -30 -30 + -8x + 15x = x + 7 + -7 Combine like terms: -8x + 15x = 7x -30 + 7x = x + 7 + -7 Reorder the terms: -30 + 7x = 7 + -7 + x Combine like terms: 7 + -7 = 0 -30 + 7x = 0 + x -30 + 7x = x Solving -30 + 7x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + 7x + -1x = x + -1x Combine like terms: 7x + -1x = 6x -30 + 6x = x + -1x Combine like terms: x + -1x = 0 -30 + 6x = 0 Add '30' to each side of the equation. -30 + 30 + 6x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 0 + 30 6x = 0 + 30 Combine like terms: 0 + 30 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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