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Simplifying 2x + 114 = 10(x + 9) Reorder the terms: 114 + 2x = 10(x + 9) Reorder the terms: 114 + 2x = 10(9 + x) 114 + 2x = (9 * 10 + x * 10) 114 + 2x = (90 + 10x) Solving 114 + 2x = 90 + 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 + 2x + -10x = 90 + 10x + -10x Combine like terms: 2x + -10x = -8x 114 + -8x = 90 + 10x + -10x Combine like terms: 10x + -10x = 0 114 + -8x = 90 + 0 114 + -8x = 90 Add '-114' to each side of the equation. 114 + -114 + -8x = 90 + -114 Combine like terms: 114 + -114 = 0 0 + -8x = 90 + -114 -8x = 90 + -114 Combine like terms: 90 + -114 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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