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Simplifying 6x + -3 + 5 + x = 3(1 + -3x) + 7(x + 5) Reorder the terms: -3 + 5 + 6x + x = 3(1 + -3x) + 7(x + 5) Combine like terms: -3 + 5 = 2 2 + 6x + x = 3(1 + -3x) + 7(x + 5) Combine like terms: 6x + x = 7x 2 + 7x = 3(1 + -3x) + 7(x + 5) 2 + 7x = (1 * 3 + -3x * 3) + 7(x + 5) 2 + 7x = (3 + -9x) + 7(x + 5) Reorder the terms: 2 + 7x = 3 + -9x + 7(5 + x) 2 + 7x = 3 + -9x + (5 * 7 + x * 7) 2 + 7x = 3 + -9x + (35 + 7x) Reorder the terms: 2 + 7x = 3 + 35 + -9x + 7x Combine like terms: 3 + 35 = 38 2 + 7x = 38 + -9x + 7x Combine like terms: -9x + 7x = -2x 2 + 7x = 38 + -2x Solving 2 + 7x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 7x + 2x = 38 + -2x + 2x Combine like terms: 7x + 2x = 9x 2 + 9x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 9x = 38 + 0 2 + 9x = 38 Add '-2' to each side of the equation. 2 + -2 + 9x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 38 + -2 9x = 38 + -2 Combine like terms: 38 + -2 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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