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Simplifying 6(7 + -1x) + 2(-3 + x) = x + 9 (7 * 6 + -1x * 6) + 2(-3 + x) = x + 9 (42 + -6x) + 2(-3 + x) = x + 9 42 + -6x + (-3 * 2 + x * 2) = x + 9 42 + -6x + (-6 + 2x) = x + 9 Reorder the terms: 42 + -6 + -6x + 2x = x + 9 Combine like terms: 42 + -6 = 36 36 + -6x + 2x = x + 9 Combine like terms: -6x + 2x = -4x 36 + -4x = x + 9 Reorder the terms: 36 + -4x = 9 + x Solving 36 + -4x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 36 + -4x + -1x = 9 + x + -1x Combine like terms: -4x + -1x = -5x 36 + -5x = 9 + x + -1x Combine like terms: x + -1x = 0 36 + -5x = 9 + 0 36 + -5x = 9 Add '-36' to each side of the equation. 36 + -36 + -5x = 9 + -36 Combine like terms: 36 + -36 = 0 0 + -5x = 9 + -36 -5x = 9 + -36 Combine like terms: 9 + -36 = -27 -5x = -27 Divide each side by '-5'. x = 5.4 Simplifying x = 5.4
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