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