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Simplifying 7x + (6 + -1x) = 3(x + -5) + 3 Remove parenthesis around (6 + -1x) 7x + 6 + -1x = 3(x + -5) + 3 Reorder the terms: 6 + 7x + -1x = 3(x + -5) + 3 Combine like terms: 7x + -1x = 6x 6 + 6x = 3(x + -5) + 3 Reorder the terms: 6 + 6x = 3(-5 + x) + 3 6 + 6x = (-5 * 3 + x * 3) + 3 6 + 6x = (-15 + 3x) + 3 Reorder the terms: 6 + 6x = -15 + 3 + 3x Combine like terms: -15 + 3 = -12 6 + 6x = -12 + 3x Solving 6 + 6x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x 6 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3x = -12 + 0 6 + 3x = -12 Add '-6' to each side of the equation. 6 + -6 + 3x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -12 + -6 3x = -12 + -6 Combine like terms: -12 + -6 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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