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