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Simplifying 6x + 1 = -3x + 64 Reorder the terms: 1 + 6x = -3x + 64 Reorder the terms: 1 + 6x = 64 + -3x Solving 1 + 6x = 64 + -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. 1 + 6x + 3x = 64 + -3x + 3x Combine like terms: 6x + 3x = 9x 1 + 9x = 64 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 9x = 64 + 0 1 + 9x = 64 Add '-1' to each side of the equation. 1 + -1 + 9x = 64 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 64 + -1 9x = 64 + -1 Combine like terms: 64 + -1 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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