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Simplifying 5x + -3(2 + -6) + -3 = 7x + -1(3 + -1x) Combine like terms: 2 + -6 = -4 5x + -3(-4) + -3 = 7x + -1(3 + -1x) Multiply -3 * -4 5x + 12 + -3 = 7x + -1(3 + -1x) Reorder the terms: 12 + -3 + 5x = 7x + -1(3 + -1x) Combine like terms: 12 + -3 = 9 9 + 5x = 7x + -1(3 + -1x) 9 + 5x = 7x + (3 * -1 + -1x * -1) 9 + 5x = 7x + (-3 + 1x) Reorder the terms: 9 + 5x = -3 + 7x + 1x Combine like terms: 7x + 1x = 8x 9 + 5x = -3 + 8x Solving 9 + 5x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 5x + -8x = -3 + 8x + -8x Combine like terms: 5x + -8x = -3x 9 + -3x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -3x = -3 + 0 9 + -3x = -3 Add '-9' to each side of the equation. 9 + -9 + -3x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -3 + -9 -3x = -3 + -9 Combine like terms: -3 + -9 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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