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Simplifying 3x + -7 + -7(x + 1) = (6x + 3) Reorder the terms: 3x + -7 + -7(1 + x) = (6x + 3) 3x + -7 + (1 * -7 + x * -7) = (6x + 3) 3x + -7 + (-7 + -7x) = (6x + 3) Reorder the terms: -7 + -7 + 3x + -7x = (6x + 3) Combine like terms: -7 + -7 = -14 -14 + 3x + -7x = (6x + 3) Combine like terms: 3x + -7x = -4x -14 + -4x = (6x + 3) Reorder the terms: -14 + -4x = (3 + 6x) Remove parenthesis around (3 + 6x) -14 + -4x = 3 + 6x Solving -14 + -4x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + -4x + -6x = 3 + 6x + -6x Combine like terms: -4x + -6x = -10x -14 + -10x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -10x = 3 + 0 -14 + -10x = 3 Add '14' to each side of the equation. -14 + 14 + -10x = 3 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = 3 + 14 -10x = 3 + 14 Combine like terms: 3 + 14 = 17 -10x = 17 Divide each side by '-10'. x = -1.7 Simplifying x = -1.7
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