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Simplifying 4(x + -3) + -2(3x + -5) = 2x + 1 Reorder the terms: 4(-3 + x) + -2(3x + -5) = 2x + 1 (-3 * 4 + x * 4) + -2(3x + -5) = 2x + 1 (-12 + 4x) + -2(3x + -5) = 2x + 1 Reorder the terms: -12 + 4x + -2(-5 + 3x) = 2x + 1 -12 + 4x + (-5 * -2 + 3x * -2) = 2x + 1 -12 + 4x + (10 + -6x) = 2x + 1 Reorder the terms: -12 + 10 + 4x + -6x = 2x + 1 Combine like terms: -12 + 10 = -2 -2 + 4x + -6x = 2x + 1 Combine like terms: 4x + -6x = -2x -2 + -2x = 2x + 1 Reorder the terms: -2 + -2x = 1 + 2x Solving -2 + -2x = 1 + 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 + -2x + -2x = 1 + 2x + -2x Combine like terms: -2x + -2x = -4x -2 + -4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -4x = 1 + 0 -2 + -4x = 1 Add '2' to each side of the equation. -2 + 2 + -4x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 1 + 2 -4x = 1 + 2 Combine like terms: 1 + 2 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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