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Simplifying 6x + -6 + 38 = 7x + -4 Reorder the terms: -6 + 38 + 6x = 7x + -4 Combine like terms: -6 + 38 = 32 32 + 6x = 7x + -4 Reorder the terms: 32 + 6x = -4 + 7x Solving 32 + 6x = -4 + 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. 32 + 6x + -7x = -4 + 7x + -7x Combine like terms: 6x + -7x = -1x 32 + -1x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -1x = -4 + 0 32 + -1x = -4 Add '-32' to each side of the equation. 32 + -32 + -1x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = -4 + -32 -1x = -4 + -32 Combine like terms: -4 + -32 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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