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Simplifying -10 + -3x = 8(3x + -4) + -5 Reorder the terms: -10 + -3x = 8(-4 + 3x) + -5 -10 + -3x = (-4 * 8 + 3x * 8) + -5 -10 + -3x = (-32 + 24x) + -5 Reorder the terms: -10 + -3x = -32 + -5 + 24x Combine like terms: -32 + -5 = -37 -10 + -3x = -37 + 24x Solving -10 + -3x = -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. -10 + -3x + -24x = -37 + 24x + -24x Combine like terms: -3x + -24x = -27x -10 + -27x = -37 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -27x = -37 + 0 -10 + -27x = -37 Add '10' to each side of the equation. -10 + 10 + -27x = -37 + 10 Combine like terms: -10 + 10 = 0 0 + -27x = -37 + 10 -27x = -37 + 10 Combine like terms: -37 + 10 = -27 -27x = -27 Divide each side by '-27'. x = 1 Simplifying x = 1
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