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Simplifying 1 + 4(x + -5) + 3(2x + -1) = 6(2x + -3) Reorder the terms: 1 + 4(-5 + x) + 3(2x + -1) = 6(2x + -3) 1 + (-5 * 4 + x * 4) + 3(2x + -1) = 6(2x + -3) 1 + (-20 + 4x) + 3(2x + -1) = 6(2x + -3) Reorder the terms: 1 + -20 + 4x + 3(-1 + 2x) = 6(2x + -3) 1 + -20 + 4x + (-1 * 3 + 2x * 3) = 6(2x + -3) 1 + -20 + 4x + (-3 + 6x) = 6(2x + -3) Reorder the terms: 1 + -20 + -3 + 4x + 6x = 6(2x + -3) Combine like terms: 1 + -20 = -19 -19 + -3 + 4x + 6x = 6(2x + -3) Combine like terms: -19 + -3 = -22 -22 + 4x + 6x = 6(2x + -3) Combine like terms: 4x + 6x = 10x -22 + 10x = 6(2x + -3) Reorder the terms: -22 + 10x = 6(-3 + 2x) -22 + 10x = (-3 * 6 + 2x * 6) -22 + 10x = (-18 + 12x) Solving -22 + 10x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -22 + 10x + -12x = -18 + 12x + -12x Combine like terms: 10x + -12x = -2x -22 + -2x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -22 + -2x = -18 + 0 -22 + -2x = -18 Add '22' to each side of the equation. -22 + 22 + -2x = -18 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = -18 + 22 -2x = -18 + 22 Combine like terms: -18 + 22 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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