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Simplifying 7(x + -10) + 2x = 8(x + -5) + -5 Reorder the terms: 7(-10 + x) + 2x = 8(x + -5) + -5 (-10 * 7 + x * 7) + 2x = 8(x + -5) + -5 (-70 + 7x) + 2x = 8(x + -5) + -5 Combine like terms: 7x + 2x = 9x -70 + 9x = 8(x + -5) + -5 Reorder the terms: -70 + 9x = 8(-5 + x) + -5 -70 + 9x = (-5 * 8 + x * 8) + -5 -70 + 9x = (-40 + 8x) + -5 Reorder the terms: -70 + 9x = -40 + -5 + 8x Combine like terms: -40 + -5 = -45 -70 + 9x = -45 + 8x Solving -70 + 9x = -45 + 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. -70 + 9x + -8x = -45 + 8x + -8x Combine like terms: 9x + -8x = 1x -70 + 1x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 -70 + 1x = -45 + 0 -70 + 1x = -45 Add '70' to each side of the equation. -70 + 70 + 1x = -45 + 70 Combine like terms: -70 + 70 = 0 0 + 1x = -45 + 70 1x = -45 + 70 Combine like terms: -45 + 70 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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