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Simplifying 4(x + 6) = 3 + -4(4x + 4) Reorder the terms: 4(6 + x) = 3 + -4(4x + 4) (6 * 4 + x * 4) = 3 + -4(4x + 4) (24 + 4x) = 3 + -4(4x + 4) Reorder the terms: 24 + 4x = 3 + -4(4 + 4x) 24 + 4x = 3 + (4 * -4 + 4x * -4) 24 + 4x = 3 + (-16 + -16x) Combine like terms: 3 + -16 = -13 24 + 4x = -13 + -16x Solving 24 + 4x = -13 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 24 + 4x + 16x = -13 + -16x + 16x Combine like terms: 4x + 16x = 20x 24 + 20x = -13 + -16x + 16x Combine like terms: -16x + 16x = 0 24 + 20x = -13 + 0 24 + 20x = -13 Add '-24' to each side of the equation. 24 + -24 + 20x = -13 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = -13 + -24 20x = -13 + -24 Combine like terms: -13 + -24 = -37 20x = -37 Divide each side by '20'. x = -1.85 Simplifying x = -1.85
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