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Simplifying 19 + -1(x + 6) = 9x + -7 Reorder the terms: 19 + -1(6 + x) = 9x + -7 19 + (6 * -1 + x * -1) = 9x + -7 19 + (-6 + -1x) = 9x + -7 Combine like terms: 19 + -6 = 13 13 + -1x = 9x + -7 Reorder the terms: 13 + -1x = -7 + 9x Solving 13 + -1x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 13 + -1x + -9x = -7 + 9x + -9x Combine like terms: -1x + -9x = -10x 13 + -10x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -10x = -7 + 0 13 + -10x = -7 Add '-13' to each side of the equation. 13 + -13 + -10x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = -7 + -13 -10x = -7 + -13 Combine like terms: -7 + -13 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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