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Simplifying 6(x + -1) + 3 = 3(7x + 4) Reorder the terms: 6(-1 + x) + 3 = 3(7x + 4) (-1 * 6 + x * 6) + 3 = 3(7x + 4) (-6 + 6x) + 3 = 3(7x + 4) Reorder the terms: -6 + 3 + 6x = 3(7x + 4) Combine like terms: -6 + 3 = -3 -3 + 6x = 3(7x + 4) Reorder the terms: -3 + 6x = 3(4 + 7x) -3 + 6x = (4 * 3 + 7x * 3) -3 + 6x = (12 + 21x) Solving -3 + 6x = 12 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -3 + 6x + -21x = 12 + 21x + -21x Combine like terms: 6x + -21x = -15x -3 + -15x = 12 + 21x + -21x Combine like terms: 21x + -21x = 0 -3 + -15x = 12 + 0 -3 + -15x = 12 Add '3' to each side of the equation. -3 + 3 + -15x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -15x = 12 + 3 -15x = 12 + 3 Combine like terms: 12 + 3 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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