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Simplifying 6x + 3(x + 2) = -1(7 + 2x) + x Reorder the terms: 6x + 3(2 + x) = -1(7 + 2x) + x 6x + (2 * 3 + x * 3) = -1(7 + 2x) + x 6x + (6 + 3x) = -1(7 + 2x) + x Reorder the terms: 6 + 6x + 3x = -1(7 + 2x) + x Combine like terms: 6x + 3x = 9x 6 + 9x = -1(7 + 2x) + x 6 + 9x = (7 * -1 + 2x * -1) + x 6 + 9x = (-7 + -2x) + x Combine like terms: -2x + x = -1x 6 + 9x = -7 + -1x Solving 6 + 9x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 9x + x = -7 + -1x + x Combine like terms: 9x + x = 10x 6 + 10x = -7 + -1x + x Combine like terms: -1x + x = 0 6 + 10x = -7 + 0 6 + 10x = -7 Add '-6' to each side of the equation. 6 + -6 + 10x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = -7 + -6 10x = -7 + -6 Combine like terms: -7 + -6 = -13 10x = -13 Divide each side by '10'. x = -1.3 Simplifying x = -1.3
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