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Simplifying 5x + -33 = 4(x + -4) + -6 Reorder the terms: -33 + 5x = 4(x + -4) + -6 Reorder the terms: -33 + 5x = 4(-4 + x) + -6 -33 + 5x = (-4 * 4 + x * 4) + -6 -33 + 5x = (-16 + 4x) + -6 Reorder the terms: -33 + 5x = -16 + -6 + 4x Combine like terms: -16 + -6 = -22 -33 + 5x = -22 + 4x Solving -33 + 5x = -22 + 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. -33 + 5x + -4x = -22 + 4x + -4x Combine like terms: 5x + -4x = 1x -33 + 1x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + 1x = -22 + 0 -33 + 1x = -22 Add '33' to each side of the equation. -33 + 33 + 1x = -22 + 33 Combine like terms: -33 + 33 = 0 0 + 1x = -22 + 33 1x = -22 + 33 Combine like terms: -22 + 33 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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