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Simplifying 3(x + 11) + 8 = -6(x + 11) + 62 Reorder the terms: 3(11 + x) + 8 = -6(x + 11) + 62 (11 * 3 + x * 3) + 8 = -6(x + 11) + 62 (33 + 3x) + 8 = -6(x + 11) + 62 Reorder the terms: 33 + 8 + 3x = -6(x + 11) + 62 Combine like terms: 33 + 8 = 41 41 + 3x = -6(x + 11) + 62 Reorder the terms: 41 + 3x = -6(11 + x) + 62 41 + 3x = (11 * -6 + x * -6) + 62 41 + 3x = (-66 + -6x) + 62 Reorder the terms: 41 + 3x = -66 + 62 + -6x Combine like terms: -66 + 62 = -4 41 + 3x = -4 + -6x Solving 41 + 3x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 41 + 3x + 6x = -4 + -6x + 6x Combine like terms: 3x + 6x = 9x 41 + 9x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 41 + 9x = -4 + 0 41 + 9x = -4 Add '-41' to each side of the equation. 41 + -41 + 9x = -4 + -41 Combine like terms: 41 + -41 = 0 0 + 9x = -4 + -41 9x = -4 + -41 Combine like terms: -4 + -41 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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