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Simplifying 5(-6) + 14x = 22x + -1(-6) Multiply 5 * -6 -30 + 14x = 22x + -1(-6) Multiply -1 * -6 -30 + 14x = 22x + 6 Reorder the terms: -30 + 14x = 6 + 22x Solving -30 + 14x = 6 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -30 + 14x + -22x = 6 + 22x + -22x Combine like terms: 14x + -22x = -8x -30 + -8x = 6 + 22x + -22x Combine like terms: 22x + -22x = 0 -30 + -8x = 6 + 0 -30 + -8x = 6 Add '30' to each side of the equation. -30 + 30 + -8x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -8x = 6 + 30 -8x = 6 + 30 Combine like terms: 6 + 30 = 36 -8x = 36 Divide each side by '-8'. x = -4.5 Simplifying x = -4.5
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