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Simplifying 12 + 1x = -24(6 + -1x) 12 + 1x = (6 * -24 + -1x * -24) 12 + 1x = (-144 + 24x) Solving 12 + 1x = -144 + 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. 12 + 1x + -24x = -144 + 24x + -24x Combine like terms: 1x + -24x = -23x 12 + -23x = -144 + 24x + -24x Combine like terms: 24x + -24x = 0 12 + -23x = -144 + 0 12 + -23x = -144 Add '-12' to each side of the equation. 12 + -12 + -23x = -144 + -12 Combine like terms: 12 + -12 = 0 0 + -23x = -144 + -12 -23x = -144 + -12 Combine like terms: -144 + -12 = -156 -23x = -156 Divide each side by '-23'. x = 6.782608696 Simplifying x = 6.782608696
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