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Simplifying 5x + -6 = 12(0.75x + -0.3) + 10 Reorder the terms: -6 + 5x = 12(0.75x + -0.3) + 10 Reorder the terms: -6 + 5x = 12(-0.3 + 0.75x) + 10 -6 + 5x = (-0.3 * 12 + 0.75x * 12) + 10 -6 + 5x = (-3.6 + 9x) + 10 Reorder the terms: -6 + 5x = -3.6 + 10 + 9x Combine like terms: -3.6 + 10 = 6.4 -6 + 5x = 6.4 + 9x Solving -6 + 5x = 6.4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 5x + -9x = 6.4 + 9x + -9x Combine like terms: 5x + -9x = -4x -6 + -4x = 6.4 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -4x = 6.4 + 0 -6 + -4x = 6.4 Add '6' to each side of the equation. -6 + 6 + -4x = 6.4 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 6.4 + 6 -4x = 6.4 + 6 Combine like terms: 6.4 + 6 = 12.4 -4x = 12.4 Divide each side by '-4'. x = -3.1 Simplifying x = -3.1
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