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Simplifying 3x + 4 + -10 = 11(x + -2) + -1x Reorder the terms: 4 + -10 + 3x = 11(x + -2) + -1x Combine like terms: 4 + -10 = -6 -6 + 3x = 11(x + -2) + -1x Reorder the terms: -6 + 3x = 11(-2 + x) + -1x -6 + 3x = (-2 * 11 + x * 11) + -1x -6 + 3x = (-22 + 11x) + -1x Combine like terms: 11x + -1x = 10x -6 + 3x = -22 + 10x Solving -6 + 3x = -22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 3x + -10x = -22 + 10x + -10x Combine like terms: 3x + -10x = -7x -6 + -7x = -22 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -7x = -22 + 0 -6 + -7x = -22 Add '6' to each side of the equation. -6 + 6 + -7x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -22 + 6 -7x = -22 + 6 Combine like terms: -22 + 6 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286
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