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Simplifying 19 + -1(x + 6) = 6x + -8 Reorder the terms: 19 + -1(6 + x) = 6x + -8 19 + (6 * -1 + x * -1) = 6x + -8 19 + (-6 + -1x) = 6x + -8 Combine like terms: 19 + -6 = 13 13 + -1x = 6x + -8 Reorder the terms: 13 + -1x = -8 + 6x Solving 13 + -1x = -8 + 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. 13 + -1x + -6x = -8 + 6x + -6x Combine like terms: -1x + -6x = -7x 13 + -7x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -7x = -8 + 0 13 + -7x = -8 Add '-13' to each side of the equation. 13 + -13 + -7x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = -8 + -13 -7x = -8 + -13 Combine like terms: -8 + -13 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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