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