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Simplifying 6(x + 1) + 4 = 7x + 1 Reorder the terms: 6(1 + x) + 4 = 7x + 1 (1 * 6 + x * 6) + 4 = 7x + 1 (6 + 6x) + 4 = 7x + 1 Reorder the terms: 6 + 4 + 6x = 7x + 1 Combine like terms: 6 + 4 = 10 10 + 6x = 7x + 1 Reorder the terms: 10 + 6x = 1 + 7x Solving 10 + 6x = 1 + 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. 10 + 6x + -7x = 1 + 7x + -7x Combine like terms: 6x + -7x = -1x 10 + -1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -1x = 1 + 0 10 + -1x = 1 Add '-10' to each side of the equation. 10 + -10 + -1x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 1 + -10 -1x = 1 + -10 Combine like terms: 1 + -10 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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