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Simplifying 6(4x + -7) + -6 = 6(x + -3) + 78 Reorder the terms: 6(-7 + 4x) + -6 = 6(x + -3) + 78 (-7 * 6 + 4x * 6) + -6 = 6(x + -3) + 78 (-42 + 24x) + -6 = 6(x + -3) + 78 Reorder the terms: -42 + -6 + 24x = 6(x + -3) + 78 Combine like terms: -42 + -6 = -48 -48 + 24x = 6(x + -3) + 78 Reorder the terms: -48 + 24x = 6(-3 + x) + 78 -48 + 24x = (-3 * 6 + x * 6) + 78 -48 + 24x = (-18 + 6x) + 78 Reorder the terms: -48 + 24x = -18 + 78 + 6x Combine like terms: -18 + 78 = 60 -48 + 24x = 60 + 6x Solving -48 + 24x = 60 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -48 + 24x + -6x = 60 + 6x + -6x Combine like terms: 24x + -6x = 18x -48 + 18x = 60 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 18x = 60 + 0 -48 + 18x = 60 Add '48' to each side of the equation. -48 + 48 + 18x = 60 + 48 Combine like terms: -48 + 48 = 0 0 + 18x = 60 + 48 18x = 60 + 48 Combine like terms: 60 + 48 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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