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Simplifying 114 = 2x + 4(2x + 11) Reorder the terms: 114 = 2x + 4(11 + 2x) 114 = 2x + (11 * 4 + 2x * 4) 114 = 2x + (44 + 8x) Reorder the terms: 114 = 44 + 2x + 8x Combine like terms: 2x + 8x = 10x 114 = 44 + 10x Solving 114 = 44 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 114 + -10x = 44 + 10x + -10x Combine like terms: 10x + -10x = 0 114 + -10x = 44 + 0 114 + -10x = 44 Add '-114' to each side of the equation. 114 + -114 + -10x = 44 + -114 Combine like terms: 114 + -114 = 0 0 + -10x = 44 + -114 -10x = 44 + -114 Combine like terms: 44 + -114 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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