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Simplifying 3(x + 5) = 4(3 + -1x) Reorder the terms: 3(5 + x) = 4(3 + -1x) (5 * 3 + x * 3) = 4(3 + -1x) (15 + 3x) = 4(3 + -1x) 15 + 3x = (3 * 4 + -1x * 4) 15 + 3x = (12 + -4x) Solving 15 + 3x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 3x + 4x = 12 + -4x + 4x Combine like terms: 3x + 4x = 7x 15 + 7x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 7x = 12 + 0 15 + 7x = 12 Add '-15' to each side of the equation. 15 + -15 + 7x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 12 + -15 7x = 12 + -15 Combine like terms: 12 + -15 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286
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