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Simplifying -78 = -6x + 3(x + -16) Reorder the terms: -78 = -6x + 3(-16 + x) -78 = -6x + (-16 * 3 + x * 3) -78 = -6x + (-48 + 3x) Reorder the terms: -78 = -48 + -6x + 3x Combine like terms: -6x + 3x = -3x -78 = -48 + -3x Solving -78 = -48 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -78 + 3x = -48 + -3x + 3x Combine like terms: -3x + 3x = 0 -78 + 3x = -48 + 0 -78 + 3x = -48 Add '78' to each side of the equation. -78 + 78 + 3x = -48 + 78 Combine like terms: -78 + 78 = 0 0 + 3x = -48 + 78 3x = -48 + 78 Combine like terms: -48 + 78 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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