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Simplifying (5x + 12) + (3x) = 5x(2) Reorder the terms: (12 + 5x) + (3x) = 5x(2) Remove parenthesis around (12 + 5x) 12 + 5x + (3x) = 5x(2) Combine like terms: 5x + (3x) = 8x 12 + 8x = 5x(2) Reorder the terms for easier multiplication: 12 + 8x = 5 * 2x Multiply 5 * 2 12 + 8x = 10x Solving 12 + 8x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 8x + -10x = 10x + -10x Combine like terms: 8x + -10x = -2x 12 + -2x = 10x + -10x Combine like terms: 10x + -10x = 0 12 + -2x = 0 Add '-12' to each side of the equation. 12 + -12 + -2x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 0 + -12 -2x = 0 + -12 Combine like terms: 0 + -12 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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