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Simplifying 5(2x + 1) + 4 = 6(3x + 2) + 7 Reorder the terms: 5(1 + 2x) + 4 = 6(3x + 2) + 7 (1 * 5 + 2x * 5) + 4 = 6(3x + 2) + 7 (5 + 10x) + 4 = 6(3x + 2) + 7 Reorder the terms: 5 + 4 + 10x = 6(3x + 2) + 7 Combine like terms: 5 + 4 = 9 9 + 10x = 6(3x + 2) + 7 Reorder the terms: 9 + 10x = 6(2 + 3x) + 7 9 + 10x = (2 * 6 + 3x * 6) + 7 9 + 10x = (12 + 18x) + 7 Reorder the terms: 9 + 10x = 12 + 7 + 18x Combine like terms: 12 + 7 = 19 9 + 10x = 19 + 18x Solving 9 + 10x = 19 + 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. 9 + 10x + -18x = 19 + 18x + -18x Combine like terms: 10x + -18x = -8x 9 + -8x = 19 + 18x + -18x Combine like terms: 18x + -18x = 0 9 + -8x = 19 + 0 9 + -8x = 19 Add '-9' to each side of the equation. 9 + -9 + -8x = 19 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 19 + -9 -8x = 19 + -9 Combine like terms: 19 + -9 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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