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Simplifying 1 + 7(x + -8) = 6 + -4(x + -2) Reorder the terms: 1 + 7(-8 + x) = 6 + -4(x + -2) 1 + (-8 * 7 + x * 7) = 6 + -4(x + -2) 1 + (-56 + 7x) = 6 + -4(x + -2) Combine like terms: 1 + -56 = -55 -55 + 7x = 6 + -4(x + -2) Reorder the terms: -55 + 7x = 6 + -4(-2 + x) -55 + 7x = 6 + (-2 * -4 + x * -4) -55 + 7x = 6 + (8 + -4x) Combine like terms: 6 + 8 = 14 -55 + 7x = 14 + -4x Solving -55 + 7x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -55 + 7x + 4x = 14 + -4x + 4x Combine like terms: 7x + 4x = 11x -55 + 11x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -55 + 11x = 14 + 0 -55 + 11x = 14 Add '55' to each side of the equation. -55 + 55 + 11x = 14 + 55 Combine like terms: -55 + 55 = 0 0 + 11x = 14 + 55 11x = 14 + 55 Combine like terms: 14 + 55 = 69 11x = 69 Divide each side by '11'. x = 6.272727273 Simplifying x = 6.272727273
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