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Simplifying 6 + -9(2x + 5) + -10 = -1x + -15 Reorder the terms: 6 + -9(5 + 2x) + -10 = -1x + -15 6 + (5 * -9 + 2x * -9) + -10 = -1x + -15 6 + (-45 + -18x) + -10 = -1x + -15 Reorder the terms: 6 + -45 + -10 + -18x = -1x + -15 Combine like terms: 6 + -45 = -39 -39 + -10 + -18x = -1x + -15 Combine like terms: -39 + -10 = -49 -49 + -18x = -1x + -15 Reorder the terms: -49 + -18x = -15 + -1x Solving -49 + -18x = -15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -49 + -18x + x = -15 + -1x + x Combine like terms: -18x + x = -17x -49 + -17x = -15 + -1x + x Combine like terms: -1x + x = 0 -49 + -17x = -15 + 0 -49 + -17x = -15 Add '49' to each side of the equation. -49 + 49 + -17x = -15 + 49 Combine like terms: -49 + 49 = 0 0 + -17x = -15 + 49 -17x = -15 + 49 Combine like terms: -15 + 49 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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