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Simplifying 6x + 5(4x + -3) + -6 = 6(5x + -2) + 6 Reorder the terms: 6x + 5(-3 + 4x) + -6 = 6(5x + -2) + 6 6x + (-3 * 5 + 4x * 5) + -6 = 6(5x + -2) + 6 6x + (-15 + 20x) + -6 = 6(5x + -2) + 6 Reorder the terms: -15 + -6 + 6x + 20x = 6(5x + -2) + 6 Combine like terms: -15 + -6 = -21 -21 + 6x + 20x = 6(5x + -2) + 6 Combine like terms: 6x + 20x = 26x -21 + 26x = 6(5x + -2) + 6 Reorder the terms: -21 + 26x = 6(-2 + 5x) + 6 -21 + 26x = (-2 * 6 + 5x * 6) + 6 -21 + 26x = (-12 + 30x) + 6 Reorder the terms: -21 + 26x = -12 + 6 + 30x Combine like terms: -12 + 6 = -6 -21 + 26x = -6 + 30x Solving -21 + 26x = -6 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -21 + 26x + -30x = -6 + 30x + -30x Combine like terms: 26x + -30x = -4x -21 + -4x = -6 + 30x + -30x Combine like terms: 30x + -30x = 0 -21 + -4x = -6 + 0 -21 + -4x = -6 Add '21' to each side of the equation. -21 + 21 + -4x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = -6 + 21 -4x = -6 + 21 Combine like terms: -6 + 21 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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