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Simplifying 5x + 2(3x + -1) = 7(3x) Reorder the terms: 5x + 2(-1 + 3x) = 7(3x) 5x + (-1 * 2 + 3x * 2) = 7(3x) 5x + (-2 + 6x) = 7(3x) Reorder the terms: -2 + 5x + 6x = 7(3x) Combine like terms: 5x + 6x = 11x -2 + 11x = 7(3x) Remove parenthesis around (3x) -2 + 11x = 7 * 3x Multiply 7 * 3 -2 + 11x = 21x Solving -2 + 11x = 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. -2 + 11x + -21x = 21x + -21x Combine like terms: 11x + -21x = -10x -2 + -10x = 21x + -21x Combine like terms: 21x + -21x = 0 -2 + -10x = 0 Add '2' to each side of the equation. -2 + 2 + -10x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 0 + 2 -10x = 0 + 2 Combine like terms: 0 + 2 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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