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Simplifying -3x + 12 = 1 + 5x + 10 + -6x Reorder the terms: 12 + -3x = 1 + 5x + 10 + -6x Reorder the terms: 12 + -3x = 1 + 10 + 5x + -6x Combine like terms: 1 + 10 = 11 12 + -3x = 11 + 5x + -6x Combine like terms: 5x + -6x = -1x 12 + -3x = 11 + -1x Solving 12 + -3x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + -3x + x = 11 + -1x + x Combine like terms: -3x + x = -2x 12 + -2x = 11 + -1x + x Combine like terms: -1x + x = 0 12 + -2x = 11 + 0 12 + -2x = 11 Add '-12' to each side of the equation. 12 + -12 + -2x = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 11 + -12 -2x = 11 + -12 Combine like terms: 11 + -12 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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