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Simplifying 3 + 4(x + -7) = -2(3x + -10) Reorder the terms: 3 + 4(-7 + x) = -2(3x + -10) 3 + (-7 * 4 + x * 4) = -2(3x + -10) 3 + (-28 + 4x) = -2(3x + -10) Combine like terms: 3 + -28 = -25 -25 + 4x = -2(3x + -10) Reorder the terms: -25 + 4x = -2(-10 + 3x) -25 + 4x = (-10 * -2 + 3x * -2) -25 + 4x = (20 + -6x) Solving -25 + 4x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -25 + 4x + 6x = 20 + -6x + 6x Combine like terms: 4x + 6x = 10x -25 + 10x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -25 + 10x = 20 + 0 -25 + 10x = 20 Add '25' to each side of the equation. -25 + 25 + 10x = 20 + 25 Combine like terms: -25 + 25 = 0 0 + 10x = 20 + 25 10x = 20 + 25 Combine like terms: 20 + 25 = 45 10x = 45 Divide each side by '10'. x = 4.5 Simplifying x = 4.5
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