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Simplifying 3(2x + -4) = 4x + -1(2x + -7) Reorder the terms: 3(-4 + 2x) = 4x + -1(2x + -7) (-4 * 3 + 2x * 3) = 4x + -1(2x + -7) (-12 + 6x) = 4x + -1(2x + -7) Reorder the terms: -12 + 6x = 4x + -1(-7 + 2x) -12 + 6x = 4x + (-7 * -1 + 2x * -1) -12 + 6x = 4x + (7 + -2x) Reorder the terms: -12 + 6x = 7 + 4x + -2x Combine like terms: 4x + -2x = 2x -12 + 6x = 7 + 2x Solving -12 + 6x = 7 + 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. -12 + 6x + -2x = 7 + 2x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 4x = 7 + 0 -12 + 4x = 7 Add '12' to each side of the equation. -12 + 12 + 4x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 7 + 12 4x = 7 + 12 Combine like terms: 7 + 12 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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