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Simplifying 3x + -4.5(4 + -1.7x) = 3.8(x + -8.4) 3x + (4 * -4.5 + -1.7x * -4.5) = 3.8(x + -8.4) 3x + (-18 + 7.65x) = 3.8(x + -8.4) Reorder the terms: -18 + 3x + 7.65x = 3.8(x + -8.4) Combine like terms: 3x + 7.65x = 10.65x -18 + 10.65x = 3.8(x + -8.4) Reorder the terms: -18 + 10.65x = 3.8(-8.4 + x) -18 + 10.65x = (-8.4 * 3.8 + x * 3.8) -18 + 10.65x = (-31.92 + 3.8x) Solving -18 + 10.65x = -31.92 + 3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8x' to each side of the equation. -18 + 10.65x + -3.8x = -31.92 + 3.8x + -3.8x Combine like terms: 10.65x + -3.8x = 6.85x -18 + 6.85x = -31.92 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 -18 + 6.85x = -31.92 + 0.0 -18 + 6.85x = -31.92 Add '18' to each side of the equation. -18 + 18 + 6.85x = -31.92 + 18 Combine like terms: -18 + 18 = 0 0 + 6.85x = -31.92 + 18 6.85x = -31.92 + 18 Combine like terms: -31.92 + 18 = -13.92 6.85x = -13.92 Divide each side by '6.85'. x = -2.032116788 Simplifying x = -2.032116788
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