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Simplifying 4(5 + 2x) + -5 = -3(3x + 7) (5 * 4 + 2x * 4) + -5 = -3(3x + 7) (20 + 8x) + -5 = -3(3x + 7) Reorder the terms: 20 + -5 + 8x = -3(3x + 7) Combine like terms: 20 + -5 = 15 15 + 8x = -3(3x + 7) Reorder the terms: 15 + 8x = -3(7 + 3x) 15 + 8x = (7 * -3 + 3x * -3) 15 + 8x = (-21 + -9x) Solving 15 + 8x = -21 + -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. 15 + 8x + 9x = -21 + -9x + 9x Combine like terms: 8x + 9x = 17x 15 + 17x = -21 + -9x + 9x Combine like terms: -9x + 9x = 0 15 + 17x = -21 + 0 15 + 17x = -21 Add '-15' to each side of the equation. 15 + -15 + 17x = -21 + -15 Combine like terms: 15 + -15 = 0 0 + 17x = -21 + -15 17x = -21 + -15 Combine like terms: -21 + -15 = -36 17x = -36 Divide each side by '17'. x = -2.117647059 Simplifying x = -2.117647059
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