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Simplifying 8(3x + 2) + 4 = 5(6x + 7) + -7 Reorder the terms: 8(2 + 3x) + 4 = 5(6x + 7) + -7 (2 * 8 + 3x * 8) + 4 = 5(6x + 7) + -7 (16 + 24x) + 4 = 5(6x + 7) + -7 Reorder the terms: 16 + 4 + 24x = 5(6x + 7) + -7 Combine like terms: 16 + 4 = 20 20 + 24x = 5(6x + 7) + -7 Reorder the terms: 20 + 24x = 5(7 + 6x) + -7 20 + 24x = (7 * 5 + 6x * 5) + -7 20 + 24x = (35 + 30x) + -7 Reorder the terms: 20 + 24x = 35 + -7 + 30x Combine like terms: 35 + -7 = 28 20 + 24x = 28 + 30x Solving 20 + 24x = 28 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 20 + 24x + -30x = 28 + 30x + -30x Combine like terms: 24x + -30x = -6x 20 + -6x = 28 + 30x + -30x Combine like terms: 30x + -30x = 0 20 + -6x = 28 + 0 20 + -6x = 28 Add '-20' to each side of the equation. 20 + -20 + -6x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = 28 + -20 -6x = 28 + -20 Combine like terms: 28 + -20 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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