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Simplifying 7 + -1(2 + -3x) = 4(2x + -7) 7 + (2 * -1 + -3x * -1) = 4(2x + -7) 7 + (-2 + 3x) = 4(2x + -7) Combine like terms: 7 + -2 = 5 5 + 3x = 4(2x + -7) Reorder the terms: 5 + 3x = 4(-7 + 2x) 5 + 3x = (-7 * 4 + 2x * 4) 5 + 3x = (-28 + 8x) Solving 5 + 3x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 3x + -8x = -28 + 8x + -8x Combine like terms: 3x + -8x = -5x 5 + -5x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -5x = -28 + 0 5 + -5x = -28 Add '-5' to each side of the equation. 5 + -5 + -5x = -28 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -28 + -5 -5x = -28 + -5 Combine like terms: -28 + -5 = -33 -5x = -33 Divide each side by '-5'. x = 6.6 Simplifying x = 6.6
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