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Simplifying -9(2x + 5) = 8(3x + -10) + 21 Reorder the terms: -9(5 + 2x) = 8(3x + -10) + 21 (5 * -9 + 2x * -9) = 8(3x + -10) + 21 (-45 + -18x) = 8(3x + -10) + 21 Reorder the terms: -45 + -18x = 8(-10 + 3x) + 21 -45 + -18x = (-10 * 8 + 3x * 8) + 21 -45 + -18x = (-80 + 24x) + 21 Reorder the terms: -45 + -18x = -80 + 21 + 24x Combine like terms: -80 + 21 = -59 -45 + -18x = -59 + 24x Solving -45 + -18x = -59 + 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. -45 + -18x + -24x = -59 + 24x + -24x Combine like terms: -18x + -24x = -42x -45 + -42x = -59 + 24x + -24x Combine like terms: 24x + -24x = 0 -45 + -42x = -59 + 0 -45 + -42x = -59 Add '45' to each side of the equation. -45 + 45 + -42x = -59 + 45 Combine like terms: -45 + 45 = 0 0 + -42x = -59 + 45 -42x = -59 + 45 Combine like terms: -59 + 45 = -14 -42x = -14 Divide each side by '-42'. x = 0.3333333333 Simplifying x = 0.3333333333
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