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Simplifying 6x + 4 = 5(3x + 8) Reorder the terms: 4 + 6x = 5(3x + 8) Reorder the terms: 4 + 6x = 5(8 + 3x) 4 + 6x = (8 * 5 + 3x * 5) 4 + 6x = (40 + 15x) Solving 4 + 6x = 40 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 4 + 6x + -15x = 40 + 15x + -15x Combine like terms: 6x + -15x = -9x 4 + -9x = 40 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -9x = 40 + 0 4 + -9x = 40 Add '-4' to each side of the equation. 4 + -4 + -9x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 40 + -4 -9x = 40 + -4 Combine like terms: 40 + -4 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4

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