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Simplifying -23 + -1x = 6(-7 + 3x) -23 + -1x = (-7 * 6 + 3x * 6) -23 + -1x = (-42 + 18x) Solving -23 + -1x = -42 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -23 + -1x + -18x = -42 + 18x + -18x Combine like terms: -1x + -18x = -19x -23 + -19x = -42 + 18x + -18x Combine like terms: 18x + -18x = 0 -23 + -19x = -42 + 0 -23 + -19x = -42 Add '23' to each side of the equation. -23 + 23 + -19x = -42 + 23 Combine like terms: -23 + 23 = 0 0 + -19x = -42 + 23 -19x = -42 + 23 Combine like terms: -42 + 23 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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