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Simplifying -2(3x + -1.5) + 5(2x + -7) = 0 Reorder the terms: -2(-1.5 + 3x) + 5(2x + -7) = 0 (-1.5 * -2 + 3x * -2) + 5(2x + -7) = 0 (3 + -6x) + 5(2x + -7) = 0 Reorder the terms: 3 + -6x + 5(-7 + 2x) = 0 3 + -6x + (-7 * 5 + 2x * 5) = 0 3 + -6x + (-35 + 10x) = 0 Reorder the terms: 3 + -35 + -6x + 10x = 0 Combine like terms: 3 + -35 = -32 -32 + -6x + 10x = 0 Combine like terms: -6x + 10x = 4x -32 + 4x = 0 Solving -32 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 4x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 0 + 32 4x = 0 + 32 Combine like terms: 0 + 32 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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