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Simplifying -12x + 3(x + -5) + 7x = 7x + -78 Reorder the terms: -12x + 3(-5 + x) + 7x = 7x + -78 -12x + (-5 * 3 + x * 3) + 7x = 7x + -78 -12x + (-15 + 3x) + 7x = 7x + -78 Reorder the terms: -15 + -12x + 3x + 7x = 7x + -78 Combine like terms: -12x + 3x = -9x -15 + -9x + 7x = 7x + -78 Combine like terms: -9x + 7x = -2x -15 + -2x = 7x + -78 Reorder the terms: -15 + -2x = -78 + 7x Solving -15 + -2x = -78 + 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. -15 + -2x + -7x = -78 + 7x + -7x Combine like terms: -2x + -7x = -9x -15 + -9x = -78 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -9x = -78 + 0 -15 + -9x = -78 Add '15' to each side of the equation. -15 + 15 + -9x = -78 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = -78 + 15 -9x = -78 + 15 Combine like terms: -78 + 15 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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