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Simplifying 7.033 + 1.82x = -4.2x + 2.9(0.2 + 2.9x) 7.033 + 1.82x = -4.2x + (0.2 * 2.9 + 2.9x * 2.9) 7.033 + 1.82x = -4.2x + (0.58 + 8.41x) Reorder the terms: 7.033 + 1.82x = 0.58 + -4.2x + 8.41x Combine like terms: -4.2x + 8.41x = 4.21x 7.033 + 1.82x = 0.58 + 4.21x Solving 7.033 + 1.82x = 0.58 + 4.21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.21x' to each side of the equation. 7.033 + 1.82x + -4.21x = 0.58 + 4.21x + -4.21x Combine like terms: 1.82x + -4.21x = -2.39x 7.033 + -2.39x = 0.58 + 4.21x + -4.21x Combine like terms: 4.21x + -4.21x = 0.00 7.033 + -2.39x = 0.58 + 0.00 7.033 + -2.39x = 0.58 Add '-7.033' to each side of the equation. 7.033 + -7.033 + -2.39x = 0.58 + -7.033 Combine like terms: 7.033 + -7.033 = 0.000 0.000 + -2.39x = 0.58 + -7.033 -2.39x = 0.58 + -7.033 Combine like terms: 0.58 + -7.033 = -6.453 -2.39x = -6.453 Divide each side by '-2.39'. x = 2.7 Simplifying x = 2.7
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