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Simplifying 3(4x + -7) + 7 = -12x + 28 Reorder the terms: 3(-7 + 4x) + 7 = -12x + 28 (-7 * 3 + 4x * 3) + 7 = -12x + 28 (-21 + 12x) + 7 = -12x + 28 Reorder the terms: -21 + 7 + 12x = -12x + 28 Combine like terms: -21 + 7 = -14 -14 + 12x = -12x + 28 Reorder the terms: -14 + 12x = 28 + -12x Solving -14 + 12x = 28 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -14 + 12x + 12x = 28 + -12x + 12x Combine like terms: 12x + 12x = 24x -14 + 24x = 28 + -12x + 12x Combine like terms: -12x + 12x = 0 -14 + 24x = 28 + 0 -14 + 24x = 28 Add '14' to each side of the equation. -14 + 14 + 24x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + 24x = 28 + 14 24x = 28 + 14 Combine like terms: 28 + 14 = 42 24x = 42 Divide each side by '24'. x = 1.75 Simplifying x = 1.75
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