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Simplifying 4(7x + -12) = 7x + -6 Reorder the terms: 4(-12 + 7x) = 7x + -6 (-12 * 4 + 7x * 4) = 7x + -6 (-48 + 28x) = 7x + -6 Reorder the terms: -48 + 28x = -6 + 7x Solving -48 + 28x = -6 + 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. -48 + 28x + -7x = -6 + 7x + -7x Combine like terms: 28x + -7x = 21x -48 + 21x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + 21x = -6 + 0 -48 + 21x = -6 Add '48' to each side of the equation. -48 + 48 + 21x = -6 + 48 Combine like terms: -48 + 48 = 0 0 + 21x = -6 + 48 21x = -6 + 48 Combine like terms: -6 + 48 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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