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Simplifying -4x + 3x + 11 = 6x + -12 Reorder the terms: 11 + -4x + 3x = 6x + -12 Combine like terms: -4x + 3x = -1x 11 + -1x = 6x + -12 Reorder the terms: 11 + -1x = -12 + 6x Solving 11 + -1x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + -1x + -6x = -12 + 6x + -6x Combine like terms: -1x + -6x = -7x 11 + -7x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -7x = -12 + 0 11 + -7x = -12 Add '-11' to each side of the equation. 11 + -11 + -7x = -12 + -11 Combine like terms: 11 + -11 = 0 0 + -7x = -12 + -11 -7x = -12 + -11 Combine like terms: -12 + -11 = -23 -7x = -23 Divide each side by '-7'. x = 3.285714286 Simplifying x = 3.285714286
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