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Simplifying 4(x + -3) + 8 = 4(2x + -6) Reorder the terms: 4(-3 + x) + 8 = 4(2x + -6) (-3 * 4 + x * 4) + 8 = 4(2x + -6) (-12 + 4x) + 8 = 4(2x + -6) Reorder the terms: -12 + 8 + 4x = 4(2x + -6) Combine like terms: -12 + 8 = -4 -4 + 4x = 4(2x + -6) Reorder the terms: -4 + 4x = 4(-6 + 2x) -4 + 4x = (-6 * 4 + 2x * 4) -4 + 4x = (-24 + 8x) Solving -4 + 4x = -24 + 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. -4 + 4x + -8x = -24 + 8x + -8x Combine like terms: 4x + -8x = -4x -4 + -4x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -4x = -24 + 0 -4 + -4x = -24 Add '4' to each side of the equation. -4 + 4 + -4x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -24 + 4 -4x = -24 + 4 Combine like terms: -24 + 4 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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