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Simplifying 42x + -48 = 6(6x + -3) Reorder the terms: -48 + 42x = 6(6x + -3) Reorder the terms: -48 + 42x = 6(-3 + 6x) -48 + 42x = (-3 * 6 + 6x * 6) -48 + 42x = (-18 + 36x) Solving -48 + 42x = -18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -48 + 42x + -36x = -18 + 36x + -36x Combine like terms: 42x + -36x = 6x -48 + 6x = -18 + 36x + -36x Combine like terms: 36x + -36x = 0 -48 + 6x = -18 + 0 -48 + 6x = -18 Add '48' to each side of the equation. -48 + 48 + 6x = -18 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = -18 + 48 6x = -18 + 48 Combine like terms: -18 + 48 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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