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Simplifying 114 = -7x + 6(8 + 3x) 114 = -7x + (8 * 6 + 3x * 6) 114 = -7x + (48 + 18x) Reorder the terms: 114 = 48 + -7x + 18x Combine like terms: -7x + 18x = 11x 114 = 48 + 11x Solving 114 = 48 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 114 + -11x = 48 + 11x + -11x Combine like terms: 11x + -11x = 0 114 + -11x = 48 + 0 114 + -11x = 48 Add '-114' to each side of the equation. 114 + -114 + -11x = 48 + -114 Combine like terms: 114 + -114 = 0 0 + -11x = 48 + -114 -11x = 48 + -114 Combine like terms: 48 + -114 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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