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Simplifying 5(x + 4) = 3(4x) + -3(5) Reorder the terms: 5(4 + x) = 3(4x) + -3(5) (4 * 5 + x * 5) = 3(4x) + -3(5) (20 + 5x) = 3(4x) + -3(5) Remove parenthesis around (4x) 20 + 5x = 3 * 4x + -3(5) Multiply 3 * 4 20 + 5x = 12x + -3(5) Multiply -3 * 5 20 + 5x = 12x + -15 Reorder the terms: 20 + 5x = -15 + 12x Solving 20 + 5x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + 5x + -12x = -15 + 12x + -12x Combine like terms: 5x + -12x = -7x 20 + -7x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -7x = -15 + 0 20 + -7x = -15 Add '-20' to each side of the equation. 20 + -20 + -7x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = -15 + -20 -7x = -15 + -20 Combine like terms: -15 + -20 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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