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Simplifying 3(3x + 1) + 4 = 10x + 1 Reorder the terms: 3(1 + 3x) + 4 = 10x + 1 (1 * 3 + 3x * 3) + 4 = 10x + 1 (3 + 9x) + 4 = 10x + 1 Reorder the terms: 3 + 4 + 9x = 10x + 1 Combine like terms: 3 + 4 = 7 7 + 9x = 10x + 1 Reorder the terms: 7 + 9x = 1 + 10x Solving 7 + 9x = 1 + 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. 7 + 9x + -10x = 1 + 10x + -10x Combine like terms: 9x + -10x = -1x 7 + -1x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -1x = 1 + 0 7 + -1x = 1 Add '-7' to each side of the equation. 7 + -7 + -1x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 1 + -7 -1x = 1 + -7 Combine like terms: 1 + -7 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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