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Simplifying -4(-3x + 7) + -2x = 4(x + -7) + -2 Reorder the terms: -4(7 + -3x) + -2x = 4(x + -7) + -2 (7 * -4 + -3x * -4) + -2x = 4(x + -7) + -2 (-28 + 12x) + -2x = 4(x + -7) + -2 Combine like terms: 12x + -2x = 10x -28 + 10x = 4(x + -7) + -2 Reorder the terms: -28 + 10x = 4(-7 + x) + -2 -28 + 10x = (-7 * 4 + x * 4) + -2 -28 + 10x = (-28 + 4x) + -2 Reorder the terms: -28 + 10x = -28 + -2 + 4x Combine like terms: -28 + -2 = -30 -28 + 10x = -30 + 4x Solving -28 + 10x = -30 + 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. -28 + 10x + -4x = -30 + 4x + -4x Combine like terms: 10x + -4x = 6x -28 + 6x = -30 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 6x = -30 + 0 -28 + 6x = -30 Add '28' to each side of the equation. -28 + 28 + 6x = -30 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = -30 + 28 6x = -30 + 28 Combine like terms: -30 + 28 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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