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Simplifying 4(x + -3) + 5x = -52 + x Reorder the terms: 4(-3 + x) + 5x = -52 + x (-3 * 4 + x * 4) + 5x = -52 + x (-12 + 4x) + 5x = -52 + x Combine like terms: 4x + 5x = 9x -12 + 9x = -52 + x Solving -12 + 9x = -52 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 9x + -1x = -52 + x + -1x Combine like terms: 9x + -1x = 8x -12 + 8x = -52 + x + -1x Combine like terms: x + -1x = 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 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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