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Simplifying 6x + -24x + 42 = 18x + 4x + -8 Reorder the terms: 42 + 6x + -24x = 18x + 4x + -8 Combine like terms: 6x + -24x = -18x 42 + -18x = 18x + 4x + -8 Reorder the terms: 42 + -18x = -8 + 18x + 4x Combine like terms: 18x + 4x = 22x 42 + -18x = -8 + 22x Solving 42 + -18x = -8 + 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. 42 + -18x + -22x = -8 + 22x + -22x Combine like terms: -18x + -22x = -40x 42 + -40x = -8 + 22x + -22x Combine like terms: 22x + -22x = 0 42 + -40x = -8 + 0 42 + -40x = -8 Add '-42' to each side of the equation. 42 + -42 + -40x = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -40x = -8 + -42 -40x = -8 + -42 Combine like terms: -8 + -42 = -50 -40x = -50 Divide each side by '-40'. x = 1.25 Simplifying x = 1.25
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