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Simplifying 3(2x + -4) = 7(x + 5) Reorder the terms: 3(-4 + 2x) = 7(x + 5) (-4 * 3 + 2x * 3) = 7(x + 5) (-12 + 6x) = 7(x + 5) Reorder the terms: -12 + 6x = 7(5 + x) -12 + 6x = (5 * 7 + x * 7) -12 + 6x = (35 + 7x) Solving -12 + 6x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 6x + -7x = 35 + 7x + -7x Combine like terms: 6x + -7x = -1x -12 + -1x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -1x = 35 + 0 -12 + -1x = 35 Add '12' to each side of the equation. -12 + 12 + -1x = 35 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 35 + 12 -1x = 35 + 12 Combine like terms: 35 + 12 = 47 -1x = 47 Divide each side by '-1'. x = -47 Simplifying x = -47
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