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Simplifying -5(-6x + 3) = 6(6x + -4) + -201 Reorder the terms: -5(3 + -6x) = 6(6x + -4) + -201 (3 * -5 + -6x * -5) = 6(6x + -4) + -201 (-15 + 30x) = 6(6x + -4) + -201 Reorder the terms: -15 + 30x = 6(-4 + 6x) + -201 -15 + 30x = (-4 * 6 + 6x * 6) + -201 -15 + 30x = (-24 + 36x) + -201 Reorder the terms: -15 + 30x = -24 + -201 + 36x Combine like terms: -24 + -201 = -225 -15 + 30x = -225 + 36x Solving -15 + 30x = -225 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -15 + 30x + -36x = -225 + 36x + -36x Combine like terms: 30x + -36x = -6x -15 + -6x = -225 + 36x + -36x Combine like terms: 36x + -36x = 0 -15 + -6x = -225 + 0 -15 + -6x = -225 Add '15' to each side of the equation. -15 + 15 + -6x = -225 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -225 + 15 -6x = -225 + 15 Combine like terms: -225 + 15 = -210 -6x = -210 Divide each side by '-6'. x = 35 Simplifying x = 35
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