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Simplifying -1 + 2x + 7 + 1x + -6x = -3x + -10x + 46 Reorder the terms: -1 + 7 + 2x + 1x + -6x = -3x + -10x + 46 Combine like terms: -1 + 7 = 6 6 + 2x + 1x + -6x = -3x + -10x + 46 Combine like terms: 2x + 1x = 3x 6 + 3x + -6x = -3x + -10x + 46 Combine like terms: 3x + -6x = -3x 6 + -3x = -3x + -10x + 46 Reorder the terms: 6 + -3x = 46 + -3x + -10x Combine like terms: -3x + -10x = -13x 6 + -3x = 46 + -13x Solving 6 + -3x = 46 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 6 + -3x + 13x = 46 + -13x + 13x Combine like terms: -3x + 13x = 10x 6 + 10x = 46 + -13x + 13x Combine like terms: -13x + 13x = 0 6 + 10x = 46 + 0 6 + 10x = 46 Add '-6' to each side of the equation. 6 + -6 + 10x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 46 + -6 10x = 46 + -6 Combine like terms: 46 + -6 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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