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Simplifying 6x + 12 + -1(x + -6) = 7 + 4(x + -2) Reorder the terms: 6x + 12 + -1(-6 + x) = 7 + 4(x + -2) 6x + 12 + (-6 * -1 + x * -1) = 7 + 4(x + -2) 6x + 12 + (6 + -1x) = 7 + 4(x + -2) Reorder the terms: 12 + 6 + 6x + -1x = 7 + 4(x + -2) Combine like terms: 12 + 6 = 18 18 + 6x + -1x = 7 + 4(x + -2) Combine like terms: 6x + -1x = 5x 18 + 5x = 7 + 4(x + -2) Reorder the terms: 18 + 5x = 7 + 4(-2 + x) 18 + 5x = 7 + (-2 * 4 + x * 4) 18 + 5x = 7 + (-8 + 4x) Combine like terms: 7 + -8 = -1 18 + 5x = -1 + 4x Solving 18 + 5x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x 18 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 1x = -1 + 0 18 + 1x = -1 Add '-18' to each side of the equation. 18 + -18 + 1x = -1 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = -1 + -18 1x = -1 + -18 Combine like terms: -1 + -18 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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