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Simplifying 1 + -2(x + -4) = 4x + -3(2 + -5x) Reorder the terms: 1 + -2(-4 + x) = 4x + -3(2 + -5x) 1 + (-4 * -2 + x * -2) = 4x + -3(2 + -5x) 1 + (8 + -2x) = 4x + -3(2 + -5x) Combine like terms: 1 + 8 = 9 9 + -2x = 4x + -3(2 + -5x) 9 + -2x = 4x + (2 * -3 + -5x * -3) 9 + -2x = 4x + (-6 + 15x) Reorder the terms: 9 + -2x = -6 + 4x + 15x Combine like terms: 4x + 15x = 19x 9 + -2x = -6 + 19x Solving 9 + -2x = -6 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 9 + -2x + -19x = -6 + 19x + -19x Combine like terms: -2x + -19x = -21x 9 + -21x = -6 + 19x + -19x Combine like terms: 19x + -19x = 0 9 + -21x = -6 + 0 9 + -21x = -6 Add '-9' to each side of the equation. 9 + -9 + -21x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -21x = -6 + -9 -21x = -6 + -9 Combine like terms: -6 + -9 = -15 -21x = -15 Divide each side by '-21'. x = 0.7142857143 Simplifying x = 0.7142857143
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