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Simplifying 1.5(4x + -6) = 10x + 13 Reorder the terms: 1.5(-6 + 4x) = 10x + 13 (-6 * 1.5 + 4x * 1.5) = 10x + 13 (-9 + 6x) = 10x + 13 Reorder the terms: -9 + 6x = 13 + 10x Solving -9 + 6x = 13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -9 + 6x + -10x = 13 + 10x + -10x Combine like terms: 6x + -10x = -4x -9 + -4x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + -4x = 13 + 0 -9 + -4x = 13 Add '9' to each side of the equation. -9 + 9 + -4x = 13 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 13 + 9 -4x = 13 + 9 Combine like terms: 13 + 9 = 22 -4x = 22 Divide each side by '-4'. x = -5.5 Simplifying x = -5.5
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