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Simplifying 6(x + -4.5) = 14x + 1 Reorder the terms: 6(-4.5 + x) = 14x + 1 (-4.5 * 6 + x * 6) = 14x + 1 (-27 + 6x) = 14x + 1 Reorder the terms: -27 + 6x = 1 + 14x Solving -27 + 6x = 1 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -27 + 6x + -14x = 1 + 14x + -14x Combine like terms: 6x + -14x = -8x -27 + -8x = 1 + 14x + -14x Combine like terms: 14x + -14x = 0 -27 + -8x = 1 + 0 -27 + -8x = 1 Add '27' to each side of the equation. -27 + 27 + -8x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + -8x = 1 + 27 -8x = 1 + 27 Combine like terms: 1 + 27 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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