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Simplifying 2x + 6 + 4x + 66 = 13x + 7 + 1x + 33 Reorder the terms: 6 + 66 + 2x + 4x = 13x + 7 + 1x + 33 Combine like terms: 6 + 66 = 72 72 + 2x + 4x = 13x + 7 + 1x + 33 Combine like terms: 2x + 4x = 6x 72 + 6x = 13x + 7 + 1x + 33 Reorder the terms: 72 + 6x = 7 + 33 + 13x + 1x Combine like terms: 7 + 33 = 40 72 + 6x = 40 + 13x + 1x Combine like terms: 13x + 1x = 14x 72 + 6x = 40 + 14x Solving 72 + 6x = 40 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 72 + 6x + -14x = 40 + 14x + -14x Combine like terms: 6x + -14x = -8x 72 + -8x = 40 + 14x + -14x Combine like terms: 14x + -14x = 0 72 + -8x = 40 + 0 72 + -8x = 40 Add '-72' to each side of the equation. 72 + -72 + -8x = 40 + -72 Combine like terms: 72 + -72 = 0 0 + -8x = 40 + -72 -8x = 40 + -72 Combine like terms: 40 + -72 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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