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Simplifying 3x + -4(x + 2) = 6(x + -7) Reorder the terms: 3x + -4(2 + x) = 6(x + -7) 3x + (2 * -4 + x * -4) = 6(x + -7) 3x + (-8 + -4x) = 6(x + -7) Reorder the terms: -8 + 3x + -4x = 6(x + -7) Combine like terms: 3x + -4x = -1x -8 + -1x = 6(x + -7) Reorder the terms: -8 + -1x = 6(-7 + x) -8 + -1x = (-7 * 6 + x * 6) -8 + -1x = (-42 + 6x) Solving -8 + -1x = -42 + 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. -8 + -1x + -6x = -42 + 6x + -6x Combine like terms: -1x + -6x = -7x -8 + -7x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -7x = -42 + 0 -8 + -7x = -42 Add '8' to each side of the equation. -8 + 8 + -7x = -42 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -42 + 8 -7x = -42 + 8 Combine like terms: -42 + 8 = -34 -7x = -34 Divide each side by '-7'. x = 4.857142857 Simplifying x = 4.857142857
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