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Simplifying 3(1 + -2x) + 2(x + -5) = 4(2x + -1) + 9 (1 * 3 + -2x * 3) + 2(x + -5) = 4(2x + -1) + 9 (3 + -6x) + 2(x + -5) = 4(2x + -1) + 9 Reorder the terms: 3 + -6x + 2(-5 + x) = 4(2x + -1) + 9 3 + -6x + (-5 * 2 + x * 2) = 4(2x + -1) + 9 3 + -6x + (-10 + 2x) = 4(2x + -1) + 9 Reorder the terms: 3 + -10 + -6x + 2x = 4(2x + -1) + 9 Combine like terms: 3 + -10 = -7 -7 + -6x + 2x = 4(2x + -1) + 9 Combine like terms: -6x + 2x = -4x -7 + -4x = 4(2x + -1) + 9 Reorder the terms: -7 + -4x = 4(-1 + 2x) + 9 -7 + -4x = (-1 * 4 + 2x * 4) + 9 -7 + -4x = (-4 + 8x) + 9 Reorder the terms: -7 + -4x = -4 + 9 + 8x Combine like terms: -4 + 9 = 5 -7 + -4x = 5 + 8x Solving -7 + -4x = 5 + 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. -7 + -4x + -8x = 5 + 8x + -8x Combine like terms: -4x + -8x = -12x -7 + -12x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -12x = 5 + 0 -7 + -12x = 5 Add '7' to each side of the equation. -7 + 7 + -12x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = 5 + 7 -12x = 5 + 7 Combine like terms: 5 + 7 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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