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Simplifying 3(6x + 1) + 7 = 4(6x + 1) + -5x Reorder the terms: 3(1 + 6x) + 7 = 4(6x + 1) + -5x (1 * 3 + 6x * 3) + 7 = 4(6x + 1) + -5x (3 + 18x) + 7 = 4(6x + 1) + -5x Reorder the terms: 3 + 7 + 18x = 4(6x + 1) + -5x Combine like terms: 3 + 7 = 10 10 + 18x = 4(6x + 1) + -5x Reorder the terms: 10 + 18x = 4(1 + 6x) + -5x 10 + 18x = (1 * 4 + 6x * 4) + -5x 10 + 18x = (4 + 24x) + -5x Combine like terms: 24x + -5x = 19x 10 + 18x = 4 + 19x Solving 10 + 18x = 4 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 10 + 18x + -19x = 4 + 19x + -19x Combine like terms: 18x + -19x = -1x 10 + -1x = 4 + 19x + -19x Combine like terms: 19x + -19x = 0 10 + -1x = 4 + 0 10 + -1x = 4 Add '-10' to each side of the equation. 10 + -10 + -1x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 4 + -10 -1x = 4 + -10 Combine like terms: 4 + -10 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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