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Simplifying 6(x + 3) + -8(x + -7) = 88 + -9x Reorder the terms: 6(3 + x) + -8(x + -7) = 88 + -9x (3 * 6 + x * 6) + -8(x + -7) = 88 + -9x (18 + 6x) + -8(x + -7) = 88 + -9x Reorder the terms: 18 + 6x + -8(-7 + x) = 88 + -9x 18 + 6x + (-7 * -8 + x * -8) = 88 + -9x 18 + 6x + (56 + -8x) = 88 + -9x Reorder the terms: 18 + 56 + 6x + -8x = 88 + -9x Combine like terms: 18 + 56 = 74 74 + 6x + -8x = 88 + -9x Combine like terms: 6x + -8x = -2x 74 + -2x = 88 + -9x Solving 74 + -2x = 88 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 74 + -2x + 9x = 88 + -9x + 9x Combine like terms: -2x + 9x = 7x 74 + 7x = 88 + -9x + 9x Combine like terms: -9x + 9x = 0 74 + 7x = 88 + 0 74 + 7x = 88 Add '-74' to each side of the equation. 74 + -74 + 7x = 88 + -74 Combine like terms: 74 + -74 = 0 0 + 7x = 88 + -74 7x = 88 + -74 Combine like terms: 88 + -74 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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