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Simplifying 4(x + 3) = 4(2x + 11) Reorder the terms: 4(3 + x) = 4(2x + 11) (3 * 4 + x * 4) = 4(2x + 11) (12 + 4x) = 4(2x + 11) Reorder the terms: 12 + 4x = 4(11 + 2x) 12 + 4x = (11 * 4 + 2x * 4) 12 + 4x = (44 + 8x) Solving 12 + 4x = 44 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 4x + -8x = 44 + 8x + -8x Combine like terms: 4x + -8x = -4x 12 + -4x = 44 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -4x = 44 + 0 12 + -4x = 44 Add '-12' to each side of the equation. 12 + -12 + -4x = 44 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 44 + -12 -4x = 44 + -12 Combine like terms: 44 + -12 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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