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Simplifying 6x + 6(-3x + -7) = -47 + -7x Reorder the terms: 6x + 6(-7 + -3x) = -47 + -7x 6x + (-7 * 6 + -3x * 6) = -47 + -7x 6x + (-42 + -18x) = -47 + -7x Reorder the terms: -42 + 6x + -18x = -47 + -7x Combine like terms: 6x + -18x = -12x -42 + -12x = -47 + -7x Solving -42 + -12x = -47 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -42 + -12x + 7x = -47 + -7x + 7x Combine like terms: -12x + 7x = -5x -42 + -5x = -47 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + -5x = -47 + 0 -42 + -5x = -47 Add '42' to each side of the equation. -42 + 42 + -5x = -47 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = -47 + 42 -5x = -47 + 42 Combine like terms: -47 + 42 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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