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Simplifying 5(x + 4) = 3(5x) + -3(5) Reorder the terms: 5(4 + x) = 3(5x) + -3(5) (4 * 5 + x * 5) = 3(5x) + -3(5) (20 + 5x) = 3(5x) + -3(5) Remove parenthesis around (5x) 20 + 5x = 3 * 5x + -3(5) Multiply 3 * 5 20 + 5x = 15x + -3(5) Multiply -3 * 5 20 + 5x = 15x + -15 Reorder the terms: 20 + 5x = -15 + 15x Solving 20 + 5x = -15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + 5x + -15x = -15 + 15x + -15x Combine like terms: 5x + -15x = -10x 20 + -10x = -15 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -10x = -15 + 0 20 + -10x = -15 Add '-20' to each side of the equation. 20 + -20 + -10x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = -15 + -20 -10x = -15 + -20 Combine like terms: -15 + -20 = -35 -10x = -35 Divide each side by '-10'. x = 3.5 Simplifying x = 3.5
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