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Simplifying 2(x + -3) = 5 + -4(x + -7) Reorder the terms: 2(-3 + x) = 5 + -4(x + -7) (-3 * 2 + x * 2) = 5 + -4(x + -7) (-6 + 2x) = 5 + -4(x + -7) Reorder the terms: -6 + 2x = 5 + -4(-7 + x) -6 + 2x = 5 + (-7 * -4 + x * -4) -6 + 2x = 5 + (28 + -4x) Combine like terms: 5 + 28 = 33 -6 + 2x = 33 + -4x Solving -6 + 2x = 33 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 2x + 4x = 33 + -4x + 4x Combine like terms: 2x + 4x = 6x -6 + 6x = 33 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 6x = 33 + 0 -6 + 6x = 33 Add '6' to each side of the equation. -6 + 6 + 6x = 33 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 33 + 6 6x = 33 + 6 Combine like terms: 33 + 6 = 39 6x = 39 Divide each side by '6'. x = 6.5 Simplifying x = 6.5
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