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Simplifying 4(x + 5) = 3(x + -11) Reorder the terms: 4(5 + x) = 3(x + -11) (5 * 4 + x * 4) = 3(x + -11) (20 + 4x) = 3(x + -11) Reorder the terms: 20 + 4x = 3(-11 + x) 20 + 4x = (-11 * 3 + x * 3) 20 + 4x = (-33 + 3x) Solving 20 + 4x = -33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + 4x + -3x = -33 + 3x + -3x Combine like terms: 4x + -3x = 1x 20 + 1x = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 1x = -33 + 0 20 + 1x = -33 Add '-20' to each side of the equation. 20 + -20 + 1x = -33 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -33 + -20 1x = -33 + -20 Combine like terms: -33 + -20 = -53 1x = -53 Divide each side by '1'. x = -53 Simplifying x = -53
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