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Simplifying 3(x + -7) + -3(2x + -4) = 4(x + 3) Reorder the terms: 3(-7 + x) + -3(2x + -4) = 4(x + 3) (-7 * 3 + x * 3) + -3(2x + -4) = 4(x + 3) (-21 + 3x) + -3(2x + -4) = 4(x + 3) Reorder the terms: -21 + 3x + -3(-4 + 2x) = 4(x + 3) -21 + 3x + (-4 * -3 + 2x * -3) = 4(x + 3) -21 + 3x + (12 + -6x) = 4(x + 3) Reorder the terms: -21 + 12 + 3x + -6x = 4(x + 3) Combine like terms: -21 + 12 = -9 -9 + 3x + -6x = 4(x + 3) Combine like terms: 3x + -6x = -3x -9 + -3x = 4(x + 3) Reorder the terms: -9 + -3x = 4(3 + x) -9 + -3x = (3 * 4 + x * 4) -9 + -3x = (12 + 4x) Solving -9 + -3x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + -3x + -4x = 12 + 4x + -4x Combine like terms: -3x + -4x = -7x -9 + -7x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -7x = 12 + 0 -9 + -7x = 12 Add '9' to each side of the equation. -9 + 9 + -7x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = 12 + 9 -7x = 12 + 9 Combine like terms: 12 + 9 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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