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Simplifying 6 + -3(6x + 1) = 3x + -3(3x + 7) Reorder the terms: 6 + -3(1 + 6x) = 3x + -3(3x + 7) 6 + (1 * -3 + 6x * -3) = 3x + -3(3x + 7) 6 + (-3 + -18x) = 3x + -3(3x + 7) Combine like terms: 6 + -3 = 3 3 + -18x = 3x + -3(3x + 7) Reorder the terms: 3 + -18x = 3x + -3(7 + 3x) 3 + -18x = 3x + (7 * -3 + 3x * -3) 3 + -18x = 3x + (-21 + -9x) Reorder the terms: 3 + -18x = -21 + 3x + -9x Combine like terms: 3x + -9x = -6x 3 + -18x = -21 + -6x Solving 3 + -18x = -21 + -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. 3 + -18x + 6x = -21 + -6x + 6x Combine like terms: -18x + 6x = -12x 3 + -12x = -21 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + -12x = -21 + 0 3 + -12x = -21 Add '-3' to each side of the equation. 3 + -3 + -12x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -12x = -21 + -3 -12x = -21 + -3 Combine like terms: -21 + -3 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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