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Simplifying -5(2x + 18) + 3(4x + -21) = 0 Reorder the terms: -5(18 + 2x) + 3(4x + -21) = 0 (18 * -5 + 2x * -5) + 3(4x + -21) = 0 (-90 + -10x) + 3(4x + -21) = 0 Reorder the terms: -90 + -10x + 3(-21 + 4x) = 0 -90 + -10x + (-21 * 3 + 4x * 3) = 0 -90 + -10x + (-63 + 12x) = 0 Reorder the terms: -90 + -63 + -10x + 12x = 0 Combine like terms: -90 + -63 = -153 -153 + -10x + 12x = 0 Combine like terms: -10x + 12x = 2x -153 + 2x = 0 Solving -153 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '153' to each side of the equation. -153 + 153 + 2x = 0 + 153 Combine like terms: -153 + 153 = 0 0 + 2x = 0 + 153 2x = 0 + 153 Combine like terms: 0 + 153 = 153 2x = 153 Divide each side by '2'. x = 76.5 Simplifying x = 76.5
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