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Simplifying 5x + -1(6x + 10) = x + -13 Reorder the terms: 5x + -1(10 + 6x) = x + -13 5x + (10 * -1 + 6x * -1) = x + -13 5x + (-10 + -6x) = x + -13 Reorder the terms: -10 + 5x + -6x = x + -13 Combine like terms: 5x + -6x = -1x -10 + -1x = x + -13 Reorder the terms: -10 + -1x = -13 + x Solving -10 + -1x = -13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + -1x + -1x = -13 + x + -1x Combine like terms: -1x + -1x = -2x -10 + -2x = -13 + x + -1x Combine like terms: x + -1x = 0 -10 + -2x = -13 + 0 -10 + -2x = -13 Add '10' to each side of the equation. -10 + 10 + -2x = -13 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -13 + 10 -2x = -13 + 10 Combine like terms: -13 + 10 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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