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Simplifying 3x + -4(x + -7) = 7x + 20 Reorder the terms: 3x + -4(-7 + x) = 7x + 20 3x + (-7 * -4 + x * -4) = 7x + 20 3x + (28 + -4x) = 7x + 20 Reorder the terms: 28 + 3x + -4x = 7x + 20 Combine like terms: 3x + -4x = -1x 28 + -1x = 7x + 20 Reorder the terms: 28 + -1x = 20 + 7x Solving 28 + -1x = 20 + 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. 28 + -1x + -7x = 20 + 7x + -7x Combine like terms: -1x + -7x = -8x 28 + -8x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 28 + -8x = 20 + 0 28 + -8x = 20 Add '-28' to each side of the equation. 28 + -28 + -8x = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = 20 + -28 -8x = 20 + -28 Combine like terms: 20 + -28 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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