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Simplifying 7(x + -10) + 2 = 8(x + -5) + -5 Reorder the terms: 7(-10 + x) + 2 = 8(x + -5) + -5 (-10 * 7 + x * 7) + 2 = 8(x + -5) + -5 (-70 + 7x) + 2 = 8(x + -5) + -5 Reorder the terms: -70 + 2 + 7x = 8(x + -5) + -5 Combine like terms: -70 + 2 = -68 -68 + 7x = 8(x + -5) + -5 Reorder the terms: -68 + 7x = 8(-5 + x) + -5 -68 + 7x = (-5 * 8 + x * 8) + -5 -68 + 7x = (-40 + 8x) + -5 Reorder the terms: -68 + 7x = -40 + -5 + 8x Combine like terms: -40 + -5 = -45 -68 + 7x = -45 + 8x Solving -68 + 7x = -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. -68 + 7x + -8x = -45 + 8x + -8x Combine like terms: 7x + -8x = -1x -68 + -1x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 -68 + -1x = -45 + 0 -68 + -1x = -45 Add '68' to each side of the equation. -68 + 68 + -1x = -45 + 68 Combine like terms: -68 + 68 = 0 0 + -1x = -45 + 68 -1x = -45 + 68 Combine like terms: -45 + 68 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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