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Simplifying 6(x + -7) = 8(x + -11) Reorder the terms: 6(-7 + x) = 8(x + -11) (-7 * 6 + x * 6) = 8(x + -11) (-42 + 6x) = 8(x + -11) Reorder the terms: -42 + 6x = 8(-11 + x) -42 + 6x = (-11 * 8 + x * 8) -42 + 6x = (-88 + 8x) Solving -42 + 6x = -88 + 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. -42 + 6x + -8x = -88 + 8x + -8x Combine like terms: 6x + -8x = -2x -42 + -2x = -88 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + -2x = -88 + 0 -42 + -2x = -88 Add '42' to each side of the equation. -42 + 42 + -2x = -88 + 42 Combine like terms: -42 + 42 = 0 0 + -2x = -88 + 42 -2x = -88 + 42 Combine like terms: -88 + 42 = -46 -2x = -46 Divide each side by '-2'. x = 23 Simplifying x = 23
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