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Simplifying -12x + 3(x + -4) + 7x = 7x + -66 Reorder the terms: -12x + 3(-4 + x) + 7x = 7x + -66 -12x + (-4 * 3 + x * 3) + 7x = 7x + -66 -12x + (-12 + 3x) + 7x = 7x + -66 Reorder the terms: -12 + -12x + 3x + 7x = 7x + -66 Combine like terms: -12x + 3x = -9x -12 + -9x + 7x = 7x + -66 Combine like terms: -9x + 7x = -2x -12 + -2x = 7x + -66 Reorder the terms: -12 + -2x = -66 + 7x Solving -12 + -2x = -66 + 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. -12 + -2x + -7x = -66 + 7x + -7x Combine like terms: -2x + -7x = -9x -12 + -9x = -66 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -9x = -66 + 0 -12 + -9x = -66 Add '12' to each side of the equation. -12 + 12 + -9x = -66 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = -66 + 12 -9x = -66 + 12 Combine like terms: -66 + 12 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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