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Simplifying 3x + 2 = 7(x + 5) + 3 Reorder the terms: 2 + 3x = 7(x + 5) + 3 Reorder the terms: 2 + 3x = 7(5 + x) + 3 2 + 3x = (5 * 7 + x * 7) + 3 2 + 3x = (35 + 7x) + 3 Reorder the terms: 2 + 3x = 35 + 3 + 7x Combine like terms: 35 + 3 = 38 2 + 3x = 38 + 7x Solving 2 + 3x = 38 + 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. 2 + 3x + -7x = 38 + 7x + -7x Combine like terms: 3x + -7x = -4x 2 + -4x = 38 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -4x = 38 + 0 2 + -4x = 38 Add '-2' to each side of the equation. 2 + -2 + -4x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 38 + -2 -4x = 38 + -2 Combine like terms: 38 + -2 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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