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Simplifying x + -3 + 6x = 6(x + 5) Reorder the terms: -3 + x + 6x = 6(x + 5) Combine like terms: x + 6x = 7x -3 + 7x = 6(x + 5) Reorder the terms: -3 + 7x = 6(5 + x) -3 + 7x = (5 * 6 + x * 6) -3 + 7x = (30 + 6x) Solving -3 + 7x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 7x + -6x = 30 + 6x + -6x Combine like terms: 7x + -6x = 1x -3 + 1x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 1x = 30 + 0 -3 + 1x = 30 Add '3' to each side of the equation. -3 + 3 + 1x = 30 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 30 + 3 1x = 30 + 3 Combine like terms: 30 + 3 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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