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Simplifying 2.761 + -0.53(4.193x + -1.422) = 5.798x + -3 Reorder the terms: 2.761 + -0.53(-1.422 + 4.193x) = 5.798x + -3 2.761 + (-1.422 * -0.53 + 4.193x * -0.53) = 5.798x + -3 2.761 + (0.75366 + -2.22229x) = 5.798x + -3 Combine like terms: 2.761 + 0.75366 = 3.51466 3.51466 + -2.22229x = 5.798x + -3 Reorder the terms: 3.51466 + -2.22229x = -3 + 5.798x Solving 3.51466 + -2.22229x = -3 + 5.798x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.798x' to each side of the equation. 3.51466 + -2.22229x + -5.798x = -3 + 5.798x + -5.798x Combine like terms: -2.22229x + -5.798x = -8.02029x 3.51466 + -8.02029x = -3 + 5.798x + -5.798x Combine like terms: 5.798x + -5.798x = 0.000 3.51466 + -8.02029x = -3 + 0.000 3.51466 + -8.02029x = -3 Add '-3.51466' to each side of the equation. 3.51466 + -3.51466 + -8.02029x = -3 + -3.51466 Combine like terms: 3.51466 + -3.51466 = 0.00000 0.00000 + -8.02029x = -3 + -3.51466 -8.02029x = -3 + -3.51466 Combine like terms: -3 + -3.51466 = -6.51466 -8.02029x = -6.51466 Divide each side by '-8.02029'. x = 0.8122723742 Simplifying x = 0.8122723742
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