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Simplifying 5(3x + 3) = 14(x + 1) Reorder the terms: 5(3 + 3x) = 14(x + 1) (3 * 5 + 3x * 5) = 14(x + 1) (15 + 15x) = 14(x + 1) Reorder the terms: 15 + 15x = 14(1 + x) 15 + 15x = (1 * 14 + x * 14) 15 + 15x = (14 + 14x) Solving 15 + 15x = 14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 15 + 15x + -14x = 14 + 14x + -14x Combine like terms: 15x + -14x = 1x 15 + 1x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + 1x = 14 + 0 15 + 1x = 14 Add '-15' to each side of the equation. 15 + -15 + 1x = 14 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 14 + -15 1x = 14 + -15 Combine like terms: 14 + -15 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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