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Simplifying -10 + 5x = -8(-3x + 6) Reorder the terms: -10 + 5x = -8(6 + -3x) -10 + 5x = (6 * -8 + -3x * -8) -10 + 5x = (-48 + 24x) Solving -10 + 5x = -48 + 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. -10 + 5x + -24x = -48 + 24x + -24x Combine like terms: 5x + -24x = -19x -10 + -19x = -48 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -19x = -48 + 0 -10 + -19x = -48 Add '10' to each side of the equation. -10 + 10 + -19x = -48 + 10 Combine like terms: -10 + 10 = 0 0 + -19x = -48 + 10 -19x = -48 + 10 Combine like terms: -48 + 10 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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