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Simplifying -3 + 6x = 7(6 + x) + 8x -3 + 6x = (6 * 7 + x * 7) + 8x -3 + 6x = (42 + 7x) + 8x Combine like terms: 7x + 8x = 15x -3 + 6x = 42 + 15x Solving -3 + 6x = 42 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -3 + 6x + -15x = 42 + 15x + -15x Combine like terms: 6x + -15x = -9x -3 + -9x = 42 + 15x + -15x Combine like terms: 15x + -15x = 0 -3 + -9x = 42 + 0 -3 + -9x = 42 Add '3' to each side of the equation. -3 + 3 + -9x = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 42 + 3 -9x = 42 + 3 Combine like terms: 42 + 3 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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