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Simplifying 4(2x + 5) * 4 = 3(5x + -6) Reorder the terms: 4(5 + 2x) * 4 = 3(5x + -6) Reorder the terms for easier multiplication: 4 * 4(5 + 2x) = 3(5x + -6) Multiply 4 * 4 16(5 + 2x) = 3(5x + -6) (5 * 16 + 2x * 16) = 3(5x + -6) (80 + 32x) = 3(5x + -6) Reorder the terms: 80 + 32x = 3(-6 + 5x) 80 + 32x = (-6 * 3 + 5x * 3) 80 + 32x = (-18 + 15x) Solving 80 + 32x = -18 + 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. 80 + 32x + -15x = -18 + 15x + -15x Combine like terms: 32x + -15x = 17x 80 + 17x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 80 + 17x = -18 + 0 80 + 17x = -18 Add '-80' to each side of the equation. 80 + -80 + 17x = -18 + -80 Combine like terms: 80 + -80 = 0 0 + 17x = -18 + -80 17x = -18 + -80 Combine like terms: -18 + -80 = -98 17x = -98 Divide each side by '17'. x = -5.764705882 Simplifying x = -5.764705882
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