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Simplifying 3 + 4(x + -7) = 4 + -2(x + -4) Reorder the terms: 3 + 4(-7 + x) = 4 + -2(x + -4) 3 + (-7 * 4 + x * 4) = 4 + -2(x + -4) 3 + (-28 + 4x) = 4 + -2(x + -4) Combine like terms: 3 + -28 = -25 -25 + 4x = 4 + -2(x + -4) Reorder the terms: -25 + 4x = 4 + -2(-4 + x) -25 + 4x = 4 + (-4 * -2 + x * -2) -25 + 4x = 4 + (8 + -2x) Combine like terms: 4 + 8 = 12 -25 + 4x = 12 + -2x Solving -25 + 4x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -25 + 4x + 2x = 12 + -2x + 2x Combine like terms: 4x + 2x = 6x -25 + 6x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -25 + 6x = 12 + 0 -25 + 6x = 12 Add '25' to each side of the equation. -25 + 25 + 6x = 12 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = 12 + 25 6x = 12 + 25 Combine like terms: 12 + 25 = 37 6x = 37 Divide each side by '6'. x = 6.166666667 Simplifying x = 6.166666667
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