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Simplifying 4 + 7(x + -6) = 11 + -2(x + -8) Reorder the terms: 4 + 7(-6 + x) = 11 + -2(x + -8) 4 + (-6 * 7 + x * 7) = 11 + -2(x + -8) 4 + (-42 + 7x) = 11 + -2(x + -8) Combine like terms: 4 + -42 = -38 -38 + 7x = 11 + -2(x + -8) Reorder the terms: -38 + 7x = 11 + -2(-8 + x) -38 + 7x = 11 + (-8 * -2 + x * -2) -38 + 7x = 11 + (16 + -2x) Combine like terms: 11 + 16 = 27 -38 + 7x = 27 + -2x Solving -38 + 7x = 27 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -38 + 7x + 2x = 27 + -2x + 2x Combine like terms: 7x + 2x = 9x -38 + 9x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + 9x = 27 + 0 -38 + 9x = 27 Add '38' to each side of the equation. -38 + 38 + 9x = 27 + 38 Combine like terms: -38 + 38 = 0 0 + 9x = 27 + 38 9x = 27 + 38 Combine like terms: 27 + 38 = 65 9x = 65 Divide each side by '9'. x = 7.222222222 Simplifying x = 7.222222222
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