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Simplifying 6x + 10 + 4x + 9 = 4x + 1 Reorder the terms: 10 + 9 + 6x + 4x = 4x + 1 Combine like terms: 10 + 9 = 19 19 + 6x + 4x = 4x + 1 Combine like terms: 6x + 4x = 10x 19 + 10x = 4x + 1 Reorder the terms: 19 + 10x = 1 + 4x Solving 19 + 10x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 19 + 10x + -4x = 1 + 4x + -4x Combine like terms: 10x + -4x = 6x 19 + 6x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + 6x = 1 + 0 19 + 6x = 1 Add '-19' to each side of the equation. 19 + -19 + 6x = 1 + -19 Combine like terms: 19 + -19 = 0 0 + 6x = 1 + -19 6x = 1 + -19 Combine like terms: 1 + -19 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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