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Simplifying 4(x + 3) = 8(x + -5) + 4 Reorder the terms: 4(3 + x) = 8(x + -5) + 4 (3 * 4 + x * 4) = 8(x + -5) + 4 (12 + 4x) = 8(x + -5) + 4 Reorder the terms: 12 + 4x = 8(-5 + x) + 4 12 + 4x = (-5 * 8 + x * 8) + 4 12 + 4x = (-40 + 8x) + 4 Reorder the terms: 12 + 4x = -40 + 4 + 8x Combine like terms: -40 + 4 = -36 12 + 4x = -36 + 8x Solving 12 + 4x = -36 + 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 = -36 + 8x + -8x Combine like terms: 4x + -8x = -4x 12 + -4x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -4x = -36 + 0 12 + -4x = -36 Add '-12' to each side of the equation. 12 + -12 + -4x = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -36 + -12 -4x = -36 + -12 Combine like terms: -36 + -12 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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