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Simplifying 4(2x + 1) = 3(6x + 3) + 1 Reorder the terms: 4(1 + 2x) = 3(6x + 3) + 1 (1 * 4 + 2x * 4) = 3(6x + 3) + 1 (4 + 8x) = 3(6x + 3) + 1 Reorder the terms: 4 + 8x = 3(3 + 6x) + 1 4 + 8x = (3 * 3 + 6x * 3) + 1 4 + 8x = (9 + 18x) + 1 Reorder the terms: 4 + 8x = 9 + 1 + 18x Combine like terms: 9 + 1 = 10 4 + 8x = 10 + 18x Solving 4 + 8x = 10 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 4 + 8x + -18x = 10 + 18x + -18x Combine like terms: 8x + -18x = -10x 4 + -10x = 10 + 18x + -18x Combine like terms: 18x + -18x = 0 4 + -10x = 10 + 0 4 + -10x = 10 Add '-4' to each side of the equation. 4 + -4 + -10x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = 10 + -4 -10x = 10 + -4 Combine like terms: 10 + -4 = 6 -10x = 6 Divide each side by '-10'. x = -0.6 Simplifying x = -0.6
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