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Simplifying 3(2x + -4) + (-2x + 7) = -6x + 10 + 4x + 12 Reorder the terms: 3(-4 + 2x) + (-2x + 7) = -6x + 10 + 4x + 12 (-4 * 3 + 2x * 3) + (-2x + 7) = -6x + 10 + 4x + 12 (-12 + 6x) + (-2x + 7) = -6x + 10 + 4x + 12 Reorder the terms: -12 + 6x + (7 + -2x) = -6x + 10 + 4x + 12 Remove parenthesis around (7 + -2x) -12 + 6x + 7 + -2x = -6x + 10 + 4x + 12 Reorder the terms: -12 + 7 + 6x + -2x = -6x + 10 + 4x + 12 Combine like terms: -12 + 7 = -5 -5 + 6x + -2x = -6x + 10 + 4x + 12 Combine like terms: 6x + -2x = 4x -5 + 4x = -6x + 10 + 4x + 12 Reorder the terms: -5 + 4x = 10 + 12 + -6x + 4x Combine like terms: 10 + 12 = 22 -5 + 4x = 22 + -6x + 4x Combine like terms: -6x + 4x = -2x -5 + 4x = 22 + -2x Solving -5 + 4x = 22 + -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. -5 + 4x + 2x = 22 + -2x + 2x Combine like terms: 4x + 2x = 6x -5 + 6x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 6x = 22 + 0 -5 + 6x = 22 Add '5' to each side of the equation. -5 + 5 + 6x = 22 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 22 + 5 6x = 22 + 5 Combine like terms: 22 + 5 = 27 6x = 27 Divide each side by '6'. x = 4.5 Simplifying x = 4.5
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