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Simplifying 11 + -2(x + 2) = 19(x + 5) + -68 Reorder the terms: 11 + -2(2 + x) = 19(x + 5) + -68 11 + (2 * -2 + x * -2) = 19(x + 5) + -68 11 + (-4 + -2x) = 19(x + 5) + -68 Combine like terms: 11 + -4 = 7 7 + -2x = 19(x + 5) + -68 Reorder the terms: 7 + -2x = 19(5 + x) + -68 7 + -2x = (5 * 19 + x * 19) + -68 7 + -2x = (95 + 19x) + -68 Reorder the terms: 7 + -2x = 95 + -68 + 19x Combine like terms: 95 + -68 = 27 7 + -2x = 27 + 19x Solving 7 + -2x = 27 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 7 + -2x + -19x = 27 + 19x + -19x Combine like terms: -2x + -19x = -21x 7 + -21x = 27 + 19x + -19x Combine like terms: 19x + -19x = 0 7 + -21x = 27 + 0 7 + -21x = 27 Add '-7' to each side of the equation. 7 + -7 + -21x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + -21x = 27 + -7 -21x = 27 + -7 Combine like terms: 27 + -7 = 20 -21x = 20 Divide each side by '-21'. x = -0.9523809524 Simplifying x = -0.9523809524
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