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Simplifying x + -3(x + -7) = 4(x + -7) + -2x Reorder the terms: x + -3(-7 + x) = 4(x + -7) + -2x x + (-7 * -3 + x * -3) = 4(x + -7) + -2x x + (21 + -3x) = 4(x + -7) + -2x Reorder the terms: 21 + x + -3x = 4(x + -7) + -2x Combine like terms: x + -3x = -2x 21 + -2x = 4(x + -7) + -2x Reorder the terms: 21 + -2x = 4(-7 + x) + -2x 21 + -2x = (-7 * 4 + x * 4) + -2x 21 + -2x = (-28 + 4x) + -2x Combine like terms: 4x + -2x = 2x 21 + -2x = -28 + 2x Solving 21 + -2x = -28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + -2x + -2x = -28 + 2x + -2x Combine like terms: -2x + -2x = -4x 21 + -4x = -28 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -4x = -28 + 0 21 + -4x = -28 Add '-21' to each side of the equation. 21 + -21 + -4x = -28 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = -28 + -21 -4x = -28 + -21 Combine like terms: -28 + -21 = -49 -4x = -49 Divide each side by '-4'. x = 12.25 Simplifying x = 12.25
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