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Simplifying 6x + 7 + -6 = 30x + -7 + -6x Reorder the terms: 7 + -6 + 6x = 30x + -7 + -6x Combine like terms: 7 + -6 = 1 1 + 6x = 30x + -7 + -6x Reorder the terms: 1 + 6x = -7 + 30x + -6x Combine like terms: 30x + -6x = 24x 1 + 6x = -7 + 24x Solving 1 + 6x = -7 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 1 + 6x + -24x = -7 + 24x + -24x Combine like terms: 6x + -24x = -18x 1 + -18x = -7 + 24x + -24x Combine like terms: 24x + -24x = 0 1 + -18x = -7 + 0 1 + -18x = -7 Add '-1' to each side of the equation. 1 + -1 + -18x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -18x = -7 + -1 -18x = -7 + -1 Combine like terms: -7 + -1 = -8 -18x = -8 Divide each side by '-18'. x = 0.4444444444 Simplifying x = 0.4444444444
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