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Simplifying 8.4(3.1x + -2.35) = -3.402 + 2.7x Reorder the terms: 8.4(-2.35 + 3.1x) = -3.402 + 2.7x (-2.35 * 8.4 + 3.1x * 8.4) = -3.402 + 2.7x (-19.74 + 26.04x) = -3.402 + 2.7x Solving -19.74 + 26.04x = -3.402 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. -19.74 + 26.04x + -2.7x = -3.402 + 2.7x + -2.7x Combine like terms: 26.04x + -2.7x = 23.34x -19.74 + 23.34x = -3.402 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -19.74 + 23.34x = -3.402 + 0.0 -19.74 + 23.34x = -3.402 Add '19.74' to each side of the equation. -19.74 + 19.74 + 23.34x = -3.402 + 19.74 Combine like terms: -19.74 + 19.74 = 0.00 0.00 + 23.34x = -3.402 + 19.74 23.34x = -3.402 + 19.74 Combine like terms: -3.402 + 19.74 = 16.338 23.34x = 16.338 Divide each side by '23.34'. x = 0.7 Simplifying x = 0.7
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