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Simplifying 8x + -5(1 + 3x) = 3(x + 3) + 6 8x + (1 * -5 + 3x * -5) = 3(x + 3) + 6 8x + (-5 + -15x) = 3(x + 3) + 6 Reorder the terms: -5 + 8x + -15x = 3(x + 3) + 6 Combine like terms: 8x + -15x = -7x -5 + -7x = 3(x + 3) + 6 Reorder the terms: -5 + -7x = 3(3 + x) + 6 -5 + -7x = (3 * 3 + x * 3) + 6 -5 + -7x = (9 + 3x) + 6 Reorder the terms: -5 + -7x = 9 + 6 + 3x Combine like terms: 9 + 6 = 15 -5 + -7x = 15 + 3x Solving -5 + -7x = 15 + 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. -5 + -7x + -3x = 15 + 3x + -3x Combine like terms: -7x + -3x = -10x -5 + -10x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -10x = 15 + 0 -5 + -10x = 15 Add '5' to each side of the equation. -5 + 5 + -10x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 15 + 5 -10x = 15 + 5 Combine like terms: 15 + 5 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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