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Simplifying 7 + 3x + 2x = 4(2x + -5) + x + -9 Combine like terms: 3x + 2x = 5x 7 + 5x = 4(2x + -5) + x + -9 Reorder the terms: 7 + 5x = 4(-5 + 2x) + x + -9 7 + 5x = (-5 * 4 + 2x * 4) + x + -9 7 + 5x = (-20 + 8x) + x + -9 Reorder the terms: 7 + 5x = -20 + -9 + 8x + x Combine like terms: -20 + -9 = -29 7 + 5x = -29 + 8x + x Combine like terms: 8x + x = 9x 7 + 5x = -29 + 9x Solving 7 + 5x = -29 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 5x + -9x = -29 + 9x + -9x Combine like terms: 5x + -9x = -4x 7 + -4x = -29 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -4x = -29 + 0 7 + -4x = -29 Add '-7' to each side of the equation. 7 + -7 + -4x = -29 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -29 + -7 -4x = -29 + -7 Combine like terms: -29 + -7 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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