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Simplifying 114 = 5x + -2(-5x + 18) Reorder the terms: 114 = 5x + -2(18 + -5x) 114 = 5x + (18 * -2 + -5x * -2) 114 = 5x + (-36 + 10x) Reorder the terms: 114 = -36 + 5x + 10x Combine like terms: 5x + 10x = 15x 114 = -36 + 15x Solving 114 = -36 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 114 + -15x = -36 + 15x + -15x Combine like terms: 15x + -15x = 0 114 + -15x = -36 + 0 114 + -15x = -36 Add '-114' to each side of the equation. 114 + -114 + -15x = -36 + -114 Combine like terms: 114 + -114 = 0 0 + -15x = -36 + -114 -15x = -36 + -114 Combine like terms: -36 + -114 = -150 -15x = -150 Divide each side by '-15'. x = 10 Simplifying x = 10
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