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Simplifying -6(3x + -7) + -3x = -1x + -18 Reorder the terms: -6(-7 + 3x) + -3x = -1x + -18 (-7 * -6 + 3x * -6) + -3x = -1x + -18 (42 + -18x) + -3x = -1x + -18 Combine like terms: -18x + -3x = -21x 42 + -21x = -1x + -18 Reorder the terms: 42 + -21x = -18 + -1x Solving 42 + -21x = -18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + -21x + x = -18 + -1x + x Combine like terms: -21x + x = -20x 42 + -20x = -18 + -1x + x Combine like terms: -1x + x = 0 42 + -20x = -18 + 0 42 + -20x = -18 Add '-42' to each side of the equation. 42 + -42 + -20x = -18 + -42 Combine like terms: 42 + -42 = 0 0 + -20x = -18 + -42 -20x = -18 + -42 Combine like terms: -18 + -42 = -60 -20x = -60 Divide each side by '-20'. x = 3 Simplifying x = 3
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