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Simplifying 4(4x + 3) = 7(x + -5) + -9 Reorder the terms: 4(3 + 4x) = 7(x + -5) + -9 (3 * 4 + 4x * 4) = 7(x + -5) + -9 (12 + 16x) = 7(x + -5) + -9 Reorder the terms: 12 + 16x = 7(-5 + x) + -9 12 + 16x = (-5 * 7 + x * 7) + -9 12 + 16x = (-35 + 7x) + -9 Reorder the terms: 12 + 16x = -35 + -9 + 7x Combine like terms: -35 + -9 = -44 12 + 16x = -44 + 7x Solving 12 + 16x = -44 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 16x + -7x = -44 + 7x + -7x Combine like terms: 16x + -7x = 9x 12 + 9x = -44 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 9x = -44 + 0 12 + 9x = -44 Add '-12' to each side of the equation. 12 + -12 + 9x = -44 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -44 + -12 9x = -44 + -12 Combine like terms: -44 + -12 = -56 9x = -56 Divide each side by '9'. x = -6.222222222 Simplifying x = -6.222222222
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