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Simplifying 7(x + -3) + -6x + 4 = 2 + -1(x + 3) Reorder the terms: 7(-3 + x) + -6x + 4 = 2 + -1(x + 3) (-3 * 7 + x * 7) + -6x + 4 = 2 + -1(x + 3) (-21 + 7x) + -6x + 4 = 2 + -1(x + 3) Reorder the terms: -21 + 4 + 7x + -6x = 2 + -1(x + 3) Combine like terms: -21 + 4 = -17 -17 + 7x + -6x = 2 + -1(x + 3) Combine like terms: 7x + -6x = 1x -17 + 1x = 2 + -1(x + 3) Reorder the terms: -17 + 1x = 2 + -1(3 + x) -17 + 1x = 2 + (3 * -1 + x * -1) -17 + 1x = 2 + (-3 + -1x) Combine like terms: 2 + -3 = -1 -17 + 1x = -1 + -1x Solving -17 + 1x = -1 + -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. -17 + 1x + x = -1 + -1x + x Combine like terms: 1x + x = 2x -17 + 2x = -1 + -1x + x Combine like terms: -1x + x = 0 -17 + 2x = -1 + 0 -17 + 2x = -1 Add '17' to each side of the equation. -17 + 17 + 2x = -1 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -1 + 17 2x = -1 + 17 Combine like terms: -1 + 17 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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