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Simplifying 3(x + 5) = -2 + 7x + 3 Reorder the terms: 3(5 + x) = -2 + 7x + 3 (5 * 3 + x * 3) = -2 + 7x + 3 (15 + 3x) = -2 + 7x + 3 Reorder the terms: 15 + 3x = -2 + 3 + 7x Combine like terms: -2 + 3 = 1 15 + 3x = 1 + 7x Solving 15 + 3x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 3x + -7x = 1 + 7x + -7x Combine like terms: 3x + -7x = -4x 15 + -4x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -4x = 1 + 0 15 + -4x = 1 Add '-15' to each side of the equation. 15 + -15 + -4x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 1 + -15 -4x = 1 + -15 Combine like terms: 1 + -15 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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