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Simplifying 7(3x + -6) + -22x = 110 + -11x + -4(12x) Reorder the terms: 7(-6 + 3x) + -22x = 110 + -11x + -4(12x) (-6 * 7 + 3x * 7) + -22x = 110 + -11x + -4(12x) (-42 + 21x) + -22x = 110 + -11x + -4(12x) Combine like terms: 21x + -22x = -1x -42 + -1x = 110 + -11x + -4(12x) Remove parenthesis around (12x) -42 + -1x = 110 + -11x + -4 * 12x Multiply -4 * 12 -42 + -1x = 110 + -11x + -48x Combine like terms: -11x + -48x = -59x -42 + -1x = 110 + -59x Solving -42 + -1x = 110 + -59x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59x' to each side of the equation. -42 + -1x + 59x = 110 + -59x + 59x Combine like terms: -1x + 59x = 58x -42 + 58x = 110 + -59x + 59x Combine like terms: -59x + 59x = 0 -42 + 58x = 110 + 0 -42 + 58x = 110 Add '42' to each side of the equation. -42 + 42 + 58x = 110 + 42 Combine like terms: -42 + 42 = 0 0 + 58x = 110 + 42 58x = 110 + 42 Combine like terms: 110 + 42 = 152 58x = 152 Divide each side by '58'. x = 2.620689655 Simplifying x = 2.620689655
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