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Simplifying xsquared + 3(x + 4) = 5x + 14 + xsquared Reorder the terms: adeqrsux + 3(4 + x) = 5x + 14 + xsquared adeqrsux + (4 * 3 + x * 3) = 5x + 14 + xsquared adeqrsux + (12 + 3x) = 5x + 14 + xsquared Reorder the terms: 12 + adeqrsux + 3x = 5x + 14 + xsquared Reorder the terms: 12 + adeqrsux + 3x = 14 + adeqrsux + 5x Add '-1adeqrsux' to each side of the equation. 12 + adeqrsux + -1adeqrsux + 3x = 14 + adeqrsux + -1adeqrsux + 5x Combine like terms: adeqrsux + -1adeqrsux = 0 12 + 0 + 3x = 14 + adeqrsux + -1adeqrsux + 5x 12 + 3x = 14 + adeqrsux + -1adeqrsux + 5x Combine like terms: adeqrsux + -1adeqrsux = 0 12 + 3x = 14 + 0 + 5x 12 + 3x = 14 + 5x Solving 12 + 3x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 3x + -5x = 14 + 5x + -5x Combine like terms: 3x + -5x = -2x 12 + -2x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -2x = 14 + 0 12 + -2x = 14 Add '-12' to each side of the equation. 12 + -12 + -2x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 14 + -12 -2x = 14 + -12 Combine like terms: 14 + -12 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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