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Simplifying 4(x + -7) = 2(3x + 6) Reorder the terms: 4(-7 + x) = 2(3x + 6) (-7 * 4 + x * 4) = 2(3x + 6) (-28 + 4x) = 2(3x + 6) Reorder the terms: -28 + 4x = 2(6 + 3x) -28 + 4x = (6 * 2 + 3x * 2) -28 + 4x = (12 + 6x) Solving -28 + 4x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x -28 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + -2x = 12 + 0 -28 + -2x = 12 Add '28' to each side of the equation. -28 + 28 + -2x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = 12 + 28 -2x = 12 + 28 Combine like terms: 12 + 28 = 40 -2x = 40 Divide each side by '-2'. x = -20 Simplifying x = -20
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