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Simplifying x + -1 + x + -7 = -7(3x + 3) + 3(6x + 1) Reorder the terms: -1 + -7 + x + x = -7(3x + 3) + 3(6x + 1) Combine like terms: -1 + -7 = -8 -8 + x + x = -7(3x + 3) + 3(6x + 1) Combine like terms: x + x = 2x -8 + 2x = -7(3x + 3) + 3(6x + 1) Reorder the terms: -8 + 2x = -7(3 + 3x) + 3(6x + 1) -8 + 2x = (3 * -7 + 3x * -7) + 3(6x + 1) -8 + 2x = (-21 + -21x) + 3(6x + 1) Reorder the terms: -8 + 2x = -21 + -21x + 3(1 + 6x) -8 + 2x = -21 + -21x + (1 * 3 + 6x * 3) -8 + 2x = -21 + -21x + (3 + 18x) Reorder the terms: -8 + 2x = -21 + 3 + -21x + 18x Combine like terms: -21 + 3 = -18 -8 + 2x = -18 + -21x + 18x Combine like terms: -21x + 18x = -3x -8 + 2x = -18 + -3x Solving -8 + 2x = -18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 2x + 3x = -18 + -3x + 3x Combine like terms: 2x + 3x = 5x -8 + 5x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 5x = -18 + 0 -8 + 5x = -18 Add '8' to each side of the equation. -8 + 8 + 5x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -18 + 8 5x = -18 + 8 Combine like terms: -18 + 8 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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