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Simplifying 3(7x + -4) = 5(3x + 6) Reorder the terms: 3(-4 + 7x) = 5(3x + 6) (-4 * 3 + 7x * 3) = 5(3x + 6) (-12 + 21x) = 5(3x + 6) Reorder the terms: -12 + 21x = 5(6 + 3x) -12 + 21x = (6 * 5 + 3x * 5) -12 + 21x = (30 + 15x) Solving -12 + 21x = 30 + 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. -12 + 21x + -15x = 30 + 15x + -15x Combine like terms: 21x + -15x = 6x -12 + 6x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + 6x = 30 + 0 -12 + 6x = 30 Add '12' to each side of the equation. -12 + 12 + 6x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 30 + 12 6x = 30 + 12 Combine like terms: 30 + 12 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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