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Simplifying -1x + 4 = 10 + -7 + -6(1 + -1x) Reorder the terms: 4 + -1x = 10 + -7 + -6(1 + -1x) 4 + -1x = 10 + -7 + (1 * -6 + -1x * -6) 4 + -1x = 10 + -7 + (-6 + 6x) Combine like terms: 10 + -7 = 3 4 + -1x = 3 + -6 + 6x Combine like terms: 3 + -6 = -3 4 + -1x = -3 + 6x Solving 4 + -1x = -3 + 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. 4 + -1x + -6x = -3 + 6x + -6x Combine like terms: -1x + -6x = -7x 4 + -7x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -7x = -3 + 0 4 + -7x = -3 Add '-4' to each side of the equation. 4 + -4 + -7x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -3 + -4 -7x = -3 + -4 Combine like terms: -3 + -4 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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