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Simplifying 4x + 1 = 10x + 7 Reorder the terms: 1 + 4x = 10x + 7 Reorder the terms: 1 + 4x = 7 + 10x Solving 1 + 4x = 7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 4x + -10x = 7 + 10x + -10x Combine like terms: 4x + -10x = -6x 1 + -6x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -6x = 7 + 0 1 + -6x = 7 Add '-1' to each side of the equation. 1 + -1 + -6x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 7 + -1 -6x = 7 + -1 Combine like terms: 7 + -1 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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