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Simplifying 4.3(-3x + -1.7) + 3.5 = -24.098 + 6.5x Reorder the terms: 4.3(-1.7 + -3x) + 3.5 = -24.098 + 6.5x (-1.7 * 4.3 + -3x * 4.3) + 3.5 = -24.098 + 6.5x (-7.31 + -12.9x) + 3.5 = -24.098 + 6.5x Reorder the terms: -7.31 + 3.5 + -12.9x = -24.098 + 6.5x Combine like terms: -7.31 + 3.5 = -3.81 -3.81 + -12.9x = -24.098 + 6.5x Solving -3.81 + -12.9x = -24.098 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. -3.81 + -12.9x + -6.5x = -24.098 + 6.5x + -6.5x Combine like terms: -12.9x + -6.5x = -19.4x -3.81 + -19.4x = -24.098 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 -3.81 + -19.4x = -24.098 + 0.0 -3.81 + -19.4x = -24.098 Add '3.81' to each side of the equation. -3.81 + 3.81 + -19.4x = -24.098 + 3.81 Combine like terms: -3.81 + 3.81 = 0.00 0.00 + -19.4x = -24.098 + 3.81 -19.4x = -24.098 + 3.81 Combine like terms: -24.098 + 3.81 = -20.288 -19.4x = -20.288 Divide each side by '-19.4'. x = 1.045773196 Simplifying x = 1.045773196
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