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Simplifying 10x + -4(x + -6) = 5x + 5 Reorder the terms: 10x + -4(-6 + x) = 5x + 5 10x + (-6 * -4 + x * -4) = 5x + 5 10x + (24 + -4x) = 5x + 5 Reorder the terms: 24 + 10x + -4x = 5x + 5 Combine like terms: 10x + -4x = 6x 24 + 6x = 5x + 5 Reorder the terms: 24 + 6x = 5 + 5x Solving 24 + 6x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 6x + -5x = 5 + 5x + -5x Combine like terms: 6x + -5x = 1x 24 + 1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 1x = 5 + 0 24 + 1x = 5 Add '-24' to each side of the equation. 24 + -24 + 1x = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 5 + -24 1x = 5 + -24 Combine like terms: 5 + -24 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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