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Simplifying 4 + -2(5x + 3) = 3x + -1(x + -4) Reorder the terms: 4 + -2(3 + 5x) = 3x + -1(x + -4) 4 + (3 * -2 + 5x * -2) = 3x + -1(x + -4) 4 + (-6 + -10x) = 3x + -1(x + -4) Combine like terms: 4 + -6 = -2 -2 + -10x = 3x + -1(x + -4) Reorder the terms: -2 + -10x = 3x + -1(-4 + x) -2 + -10x = 3x + (-4 * -1 + x * -1) -2 + -10x = 3x + (4 + -1x) Reorder the terms: -2 + -10x = 4 + 3x + -1x Combine like terms: 3x + -1x = 2x -2 + -10x = 4 + 2x Solving -2 + -10x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -10x + -2x = 4 + 2x + -2x Combine like terms: -10x + -2x = -12x -2 + -12x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -12x = 4 + 0 -2 + -12x = 4 Add '2' to each side of the equation. -2 + 2 + -12x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 4 + 2 -12x = 4 + 2 Combine like terms: 4 + 2 = 6 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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