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Simplifying 4(5x + 1) + -6(3x + 2) = 4x Reorder the terms: 4(1 + 5x) + -6(3x + 2) = 4x (1 * 4 + 5x * 4) + -6(3x + 2) = 4x (4 + 20x) + -6(3x + 2) = 4x Reorder the terms: 4 + 20x + -6(2 + 3x) = 4x 4 + 20x + (2 * -6 + 3x * -6) = 4x 4 + 20x + (-12 + -18x) = 4x Reorder the terms: 4 + -12 + 20x + -18x = 4x Combine like terms: 4 + -12 = -8 -8 + 20x + -18x = 4x Combine like terms: 20x + -18x = 2x -8 + 2x = 4x Solving -8 + 2x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -8 + -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -2x = 0 Add '8' to each side of the equation. -8 + 8 + -2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 0 + 8 -2x = 0 + 8 Combine like terms: 0 + 8 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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