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Simplifying 14x + 15 = 3(8x + -15) Reorder the terms: 15 + 14x = 3(8x + -15) Reorder the terms: 15 + 14x = 3(-15 + 8x) 15 + 14x = (-15 * 3 + 8x * 3) 15 + 14x = (-45 + 24x) Solving 15 + 14x = -45 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 15 + 14x + -24x = -45 + 24x + -24x Combine like terms: 14x + -24x = -10x 15 + -10x = -45 + 24x + -24x Combine like terms: 24x + -24x = 0 15 + -10x = -45 + 0 15 + -10x = -45 Add '-15' to each side of the equation. 15 + -15 + -10x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = -45 + -15 -10x = -45 + -15 Combine like terms: -45 + -15 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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