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Simplifying 5 + -2(1 + -4x) = 4 + -3(-3x + -2) 5 + (1 * -2 + -4x * -2) = 4 + -3(-3x + -2) 5 + (-2 + 8x) = 4 + -3(-3x + -2) Combine like terms: 5 + -2 = 3 3 + 8x = 4 + -3(-3x + -2) Reorder the terms: 3 + 8x = 4 + -3(-2 + -3x) 3 + 8x = 4 + (-2 * -3 + -3x * -3) 3 + 8x = 4 + (6 + 9x) Combine like terms: 4 + 6 = 10 3 + 8x = 10 + 9x Solving 3 + 8x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + 8x + -9x = 10 + 9x + -9x Combine like terms: 8x + -9x = -1x 3 + -1x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -1x = 10 + 0 3 + -1x = 10 Add '-3' to each side of the equation. 3 + -3 + -1x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 10 + -3 -1x = 10 + -3 Combine like terms: 10 + -3 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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