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Simplifying 2x + 5 + -3x + 7 = 4(2x + 3) Reorder the terms: 5 + 7 + 2x + -3x = 4(2x + 3) Combine like terms: 5 + 7 = 12 12 + 2x + -3x = 4(2x + 3) Combine like terms: 2x + -3x = -1x 12 + -1x = 4(2x + 3) Reorder the terms: 12 + -1x = 4(3 + 2x) 12 + -1x = (3 * 4 + 2x * 4) 12 + -1x = (12 + 8x) Add '-12' to each side of the equation. 12 + -12 + -1x = 12 + -12 + 8x Combine like terms: 12 + -12 = 0 0 + -1x = 12 + -12 + 8x -1x = 12 + -12 + 8x Combine like terms: 12 + -12 = 0 -1x = 0 + 8x -1x = 8x Solving -1x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1x + -8x = 8x + -8x Combine like terms: -1x + -8x = -9x -9x = 8x + -8x Combine like terms: 8x + -8x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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