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Simplifying 5x + -7(2x + -3) + 15 = 4(5x + -8) + -9x + -12 Reorder the terms: 5x + -7(-3 + 2x) + 15 = 4(5x + -8) + -9x + -12 5x + (-3 * -7 + 2x * -7) + 15 = 4(5x + -8) + -9x + -12 5x + (21 + -14x) + 15 = 4(5x + -8) + -9x + -12 Reorder the terms: 21 + 15 + 5x + -14x = 4(5x + -8) + -9x + -12 Combine like terms: 21 + 15 = 36 36 + 5x + -14x = 4(5x + -8) + -9x + -12 Combine like terms: 5x + -14x = -9x 36 + -9x = 4(5x + -8) + -9x + -12 Reorder the terms: 36 + -9x = 4(-8 + 5x) + -9x + -12 36 + -9x = (-8 * 4 + 5x * 4) + -9x + -12 36 + -9x = (-32 + 20x) + -9x + -12 Reorder the terms: 36 + -9x = -32 + -12 + 20x + -9x Combine like terms: -32 + -12 = -44 36 + -9x = -44 + 20x + -9x Combine like terms: 20x + -9x = 11x 36 + -9x = -44 + 11x Solving 36 + -9x = -44 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 36 + -9x + -11x = -44 + 11x + -11x Combine like terms: -9x + -11x = -20x 36 + -20x = -44 + 11x + -11x Combine like terms: 11x + -11x = 0 36 + -20x = -44 + 0 36 + -20x = -44 Add '-36' to each side of the equation. 36 + -36 + -20x = -44 + -36 Combine like terms: 36 + -36 = 0 0 + -20x = -44 + -36 -20x = -44 + -36 Combine like terms: -44 + -36 = -80 -20x = -80 Divide each side by '-20'. x = 4 Simplifying x = 4
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