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Simplifying -12x + 8 + -3x + 10 = 2x + -9 + 6x Reorder the terms: 8 + 10 + -12x + -3x = 2x + -9 + 6x Combine like terms: 8 + 10 = 18 18 + -12x + -3x = 2x + -9 + 6x Combine like terms: -12x + -3x = -15x 18 + -15x = 2x + -9 + 6x Reorder the terms: 18 + -15x = -9 + 2x + 6x Combine like terms: 2x + 6x = 8x 18 + -15x = -9 + 8x Solving 18 + -15x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + -15x + -8x = -9 + 8x + -8x Combine like terms: -15x + -8x = -23x 18 + -23x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -23x = -9 + 0 18 + -23x = -9 Add '-18' to each side of the equation. 18 + -18 + -23x = -9 + -18 Combine like terms: 18 + -18 = 0 0 + -23x = -9 + -18 -23x = -9 + -18 Combine like terms: -9 + -18 = -27 -23x = -27 Divide each side by '-23'. x = 1.173913043 Simplifying x = 1.173913043
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