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Simplifying 4 + 4(x + -3) = 6 + -2(x + -7) Reorder the terms: 4 + 4(-3 + x) = 6 + -2(x + -7) 4 + (-3 * 4 + x * 4) = 6 + -2(x + -7) 4 + (-12 + 4x) = 6 + -2(x + -7) Combine like terms: 4 + -12 = -8 -8 + 4x = 6 + -2(x + -7) Reorder the terms: -8 + 4x = 6 + -2(-7 + x) -8 + 4x = 6 + (-7 * -2 + x * -2) -8 + 4x = 6 + (14 + -2x) Combine like terms: 6 + 14 = 20 -8 + 4x = 20 + -2x Solving -8 + 4x = 20 + -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. -8 + 4x + 2x = 20 + -2x + 2x Combine like terms: 4x + 2x = 6x -8 + 6x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 6x = 20 + 0 -8 + 6x = 20 Add '8' to each side of the equation. -8 + 8 + 6x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 20 + 8 6x = 20 + 8 Combine like terms: 20 + 8 = 28 6x = 28 Divide each side by '6'. x = 4.666666667 Simplifying x = 4.666666667
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