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Simplifying -6 + -5(4x + 2) = -4(6x + 9) + -1 Reorder the terms: -6 + -5(2 + 4x) = -4(6x + 9) + -1 -6 + (2 * -5 + 4x * -5) = -4(6x + 9) + -1 -6 + (-10 + -20x) = -4(6x + 9) + -1 Combine like terms: -6 + -10 = -16 -16 + -20x = -4(6x + 9) + -1 Reorder the terms: -16 + -20x = -4(9 + 6x) + -1 -16 + -20x = (9 * -4 + 6x * -4) + -1 -16 + -20x = (-36 + -24x) + -1 Reorder the terms: -16 + -20x = -36 + -1 + -24x Combine like terms: -36 + -1 = -37 -16 + -20x = -37 + -24x Solving -16 + -20x = -37 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -16 + -20x + 24x = -37 + -24x + 24x Combine like terms: -20x + 24x = 4x -16 + 4x = -37 + -24x + 24x Combine like terms: -24x + 24x = 0 -16 + 4x = -37 + 0 -16 + 4x = -37 Add '16' to each side of the equation. -16 + 16 + 4x = -37 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -37 + 16 4x = -37 + 16 Combine like terms: -37 + 16 = -21 4x = -21 Divide each side by '4'. x = -5.25 Simplifying x = -5.25
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