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Simplifying 5x + 3(x + -6) = 7x + 13 Reorder the terms: 5x + 3(-6 + x) = 7x + 13 5x + (-6 * 3 + x * 3) = 7x + 13 5x + (-18 + 3x) = 7x + 13 Reorder the terms: -18 + 5x + 3x = 7x + 13 Combine like terms: 5x + 3x = 8x -18 + 8x = 7x + 13 Reorder the terms: -18 + 8x = 13 + 7x Solving -18 + 8x = 13 + 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. -18 + 8x + -7x = 13 + 7x + -7x Combine like terms: 8x + -7x = 1x -18 + 1x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 1x = 13 + 0 -18 + 1x = 13 Add '18' to each side of the equation. -18 + 18 + 1x = 13 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 13 + 18 1x = 13 + 18 Combine like terms: 13 + 18 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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