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Simplifying 28 + -4(3x + 2) = 5(2x + -7) Reorder the terms: 28 + -4(2 + 3x) = 5(2x + -7) 28 + (2 * -4 + 3x * -4) = 5(2x + -7) 28 + (-8 + -12x) = 5(2x + -7) Combine like terms: 28 + -8 = 20 20 + -12x = 5(2x + -7) Reorder the terms: 20 + -12x = 5(-7 + 2x) 20 + -12x = (-7 * 5 + 2x * 5) 20 + -12x = (-35 + 10x) Solving 20 + -12x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + -12x + -10x = -35 + 10x + -10x Combine like terms: -12x + -10x = -22x 20 + -22x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -22x = -35 + 0 20 + -22x = -35 Add '-20' to each side of the equation. 20 + -20 + -22x = -35 + -20 Combine like terms: 20 + -20 = 0 0 + -22x = -35 + -20 -22x = -35 + -20 Combine like terms: -35 + -20 = -55 -22x = -55 Divide each side by '-22'. x = 2.5 Simplifying x = 2.5
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