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Simplifying -8 + -3(6x + 5) = -6(-5x + -2) + 1 Reorder the terms: -8 + -3(5 + 6x) = -6(-5x + -2) + 1 -8 + (5 * -3 + 6x * -3) = -6(-5x + -2) + 1 -8 + (-15 + -18x) = -6(-5x + -2) + 1 Combine like terms: -8 + -15 = -23 -23 + -18x = -6(-5x + -2) + 1 Reorder the terms: -23 + -18x = -6(-2 + -5x) + 1 -23 + -18x = (-2 * -6 + -5x * -6) + 1 -23 + -18x = (12 + 30x) + 1 Reorder the terms: -23 + -18x = 12 + 1 + 30x Combine like terms: 12 + 1 = 13 -23 + -18x = 13 + 30x Solving -23 + -18x = 13 + 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. -23 + -18x + -30x = 13 + 30x + -30x Combine like terms: -18x + -30x = -48x -23 + -48x = 13 + 30x + -30x Combine like terms: 30x + -30x = 0 -23 + -48x = 13 + 0 -23 + -48x = 13 Add '23' to each side of the equation. -23 + 23 + -48x = 13 + 23 Combine like terms: -23 + 23 = 0 0 + -48x = 13 + 23 -48x = 13 + 23 Combine like terms: 13 + 23 = 36 -48x = 36 Divide each side by '-48'. x = -0.75 Simplifying x = -0.75
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