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Simplifying 4(2x + 3) = 3(5x + -2) + 6 Reorder the terms: 4(3 + 2x) = 3(5x + -2) + 6 (3 * 4 + 2x * 4) = 3(5x + -2) + 6 (12 + 8x) = 3(5x + -2) + 6 Reorder the terms: 12 + 8x = 3(-2 + 5x) + 6 12 + 8x = (-2 * 3 + 5x * 3) + 6 12 + 8x = (-6 + 15x) + 6 Reorder the terms: 12 + 8x = -6 + 6 + 15x Combine like terms: -6 + 6 = 0 12 + 8x = 0 + 15x 12 + 8x = 15x Solving 12 + 8x = 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. 12 + 8x + -15x = 15x + -15x Combine like terms: 8x + -15x = -7x 12 + -7x = 15x + -15x Combine like terms: 15x + -15x = 0 12 + -7x = 0 Add '-12' to each side of the equation. 12 + -12 + -7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 0 + -12 -7x = 0 + -12 Combine like terms: 0 + -12 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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