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Simplifying 114 = (x + 2) * 15 + -3x Reorder the terms: 114 = (2 + x) * 15 + -3x Reorder the terms for easier multiplication: 114 = 15(2 + x) + -3x 114 = (2 * 15 + x * 15) + -3x 114 = (30 + 15x) + -3x Combine like terms: 15x + -3x = 12x 114 = 30 + 12x Solving 114 = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 114 + -12x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 114 + -12x = 30 + 0 114 + -12x = 30 Add '-114' to each side of the equation. 114 + -114 + -12x = 30 + -114 Combine like terms: 114 + -114 = 0 0 + -12x = 30 + -114 -12x = 30 + -114 Combine like terms: 30 + -114 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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