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Simplifying -15(x + 10) = -36(x + 17) Reorder the terms: -15(10 + x) = -36(x + 17) (10 * -15 + x * -15) = -36(x + 17) (-150 + -15x) = -36(x + 17) Reorder the terms: -150 + -15x = -36(17 + x) -150 + -15x = (17 * -36 + x * -36) -150 + -15x = (-612 + -36x) Solving -150 + -15x = -612 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -150 + -15x + 36x = -612 + -36x + 36x Combine like terms: -15x + 36x = 21x -150 + 21x = -612 + -36x + 36x Combine like terms: -36x + 36x = 0 -150 + 21x = -612 + 0 -150 + 21x = -612 Add '150' to each side of the equation. -150 + 150 + 21x = -612 + 150 Combine like terms: -150 + 150 = 0 0 + 21x = -612 + 150 21x = -612 + 150 Combine like terms: -612 + 150 = -462 21x = -462 Divide each side by '21'. x = -22 Simplifying x = -22
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