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Simplifying 1(x + 6) + 4 = 7(x + -2) Reorder the terms: 1(6 + x) + 4 = 7(x + -2) (6 * 1 + x * 1) + 4 = 7(x + -2) (6 + 1x) + 4 = 7(x + -2) Reorder the terms: 6 + 4 + 1x = 7(x + -2) Combine like terms: 6 + 4 = 10 10 + 1x = 7(x + -2) Reorder the terms: 10 + 1x = 7(-2 + x) 10 + 1x = (-2 * 7 + x * 7) 10 + 1x = (-14 + 7x) Solving 10 + 1x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 1x + -7x = -14 + 7x + -7x Combine like terms: 1x + -7x = -6x 10 + -6x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -6x = -14 + 0 10 + -6x = -14 Add '-10' to each side of the equation. 10 + -10 + -6x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -14 + -10 -6x = -14 + -10 Combine like terms: -14 + -10 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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