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Simplifying 6(3x + -7) + -6 = 6(x + -4) + 48 Reorder the terms: 6(-7 + 3x) + -6 = 6(x + -4) + 48 (-7 * 6 + 3x * 6) + -6 = 6(x + -4) + 48 (-42 + 18x) + -6 = 6(x + -4) + 48 Reorder the terms: -42 + -6 + 18x = 6(x + -4) + 48 Combine like terms: -42 + -6 = -48 -48 + 18x = 6(x + -4) + 48 Reorder the terms: -48 + 18x = 6(-4 + x) + 48 -48 + 18x = (-4 * 6 + x * 6) + 48 -48 + 18x = (-24 + 6x) + 48 Reorder the terms: -48 + 18x = -24 + 48 + 6x Combine like terms: -24 + 48 = 24 -48 + 18x = 24 + 6x Solving -48 + 18x = 24 + 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 + 18x + -6x = 24 + 6x + -6x Combine like terms: 18x + -6x = 12x -48 + 12x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 12x = 24 + 0 -48 + 12x = 24 Add '48' to each side of the equation. -48 + 48 + 12x = 24 + 48 Combine like terms: -48 + 48 = 0 0 + 12x = 24 + 48 12x = 24 + 48 Combine like terms: 24 + 48 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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