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Simplifying 0.75x + 0.75(8x + -12) = 5 + 2x + -19 Reorder the terms: 0.75x + 0.75(-12 + 8x) = 5 + 2x + -19 0.75x + (-12 * 0.75 + 8x * 0.75) = 5 + 2x + -19 0.75x + (-9 + 6x) = 5 + 2x + -19 Reorder the terms: -9 + 0.75x + 6x = 5 + 2x + -19 Combine like terms: 0.75x + 6x = 6.75x -9 + 6.75x = 5 + 2x + -19 Reorder the terms: -9 + 6.75x = 5 + -19 + 2x Combine like terms: 5 + -19 = -14 -9 + 6.75x = -14 + 2x Solving -9 + 6.75x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 6.75x + -2x = -14 + 2x + -2x Combine like terms: 6.75x + -2x = 4.75x -9 + 4.75x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 4.75x = -14 + 0 -9 + 4.75x = -14 Add '9' to each side of the equation. -9 + 9 + 4.75x = -14 + 9 Combine like terms: -9 + 9 = 0 0 + 4.75x = -14 + 9 4.75x = -14 + 9 Combine like terms: -14 + 9 = -5 4.75x = -5 Divide each side by '4.75'. x = -1.052631579 Simplifying x = -1.052631579
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