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Simplifying 3(x + -4) + 2x = 7x + 2(-2 + -1) Reorder the terms: 3(-4 + x) + 2x = 7x + 2(-2 + -1) (-4 * 3 + x * 3) + 2x = 7x + 2(-2 + -1) (-12 + 3x) + 2x = 7x + 2(-2 + -1) Combine like terms: 3x + 2x = 5x -12 + 5x = 7x + 2(-2 + -1) Combine like terms: -2 + -1 = -3 -12 + 5x = 7x + 2(-3) Multiply 2 * -3 -12 + 5x = 7x + -6 Reorder the terms: -12 + 5x = -6 + 7x Solving -12 + 5x = -6 + 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 + 5x + -7x = -6 + 7x + -7x Combine like terms: 5x + -7x = -2x -12 + -2x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -2x = -6 + 0 -12 + -2x = -6 Add '12' to each side of the equation. -12 + 12 + -2x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -6 + 12 -2x = -6 + 12 Combine like terms: -6 + 12 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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