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Simplifying x + 5(3) = x(2) + 2x + -3(2) Multiply 5 * 3 x + 15 = x(2) + 2x + -3(2) Reorder the terms: 15 + x = x(2) + 2x + -3(2) Reorder the terms for easier multiplication: 15 + x = 2x + 2x + -3(2) Multiply -3 * 2 15 + x = 2x + 2x + -6 Reorder the terms: 15 + x = -6 + 2x + 2x Combine like terms: 2x + 2x = 4x 15 + x = -6 + 4x Solving 15 + x = -6 + 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 + x + -4x = -6 + 4x + -4x Combine like terms: x + -4x = -3x 15 + -3x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -3x = -6 + 0 15 + -3x = -6 Add '-15' to each side of the equation. 15 + -15 + -3x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -6 + -15 -3x = -6 + -15 Combine like terms: -6 + -15 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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