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Simplifying 4(x + -3) = 52 + -4x Reorder the terms: 4(-3 + x) = 52 + -4x (-3 * 4 + x * 4) = 52 + -4x (-12 + 4x) = 52 + -4x Solving -12 + 4x = 52 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 4x + 4x = 52 + -4x + 4x Combine like terms: 4x + 4x = 8x -12 + 8x = 52 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 8x = 52 + 0 -12 + 8x = 52 Add '12' to each side of the equation. -12 + 12 + 8x = 52 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 52 + 12 8x = 52 + 12 Combine like terms: 52 + 12 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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