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Simplifying 5.58 + 7.1x = -0.4(1 + 2x) + -6.3x 5.58 + 7.1x = (1 * -0.4 + 2x * -0.4) + -6.3x 5.58 + 7.1x = (-0.4 + -0.8x) + -6.3x Combine like terms: -0.8x + -6.3x = -7.1x 5.58 + 7.1x = -0.4 + -7.1x Solving 5.58 + 7.1x = -0.4 + -7.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.1x' to each side of the equation. 5.58 + 7.1x + 7.1x = -0.4 + -7.1x + 7.1x Combine like terms: 7.1x + 7.1x = 14.2x 5.58 + 14.2x = -0.4 + -7.1x + 7.1x Combine like terms: -7.1x + 7.1x = 0.0 5.58 + 14.2x = -0.4 + 0.0 5.58 + 14.2x = -0.4 Add '-5.58' to each side of the equation. 5.58 + -5.58 + 14.2x = -0.4 + -5.58 Combine like terms: 5.58 + -5.58 = 0.00 0.00 + 14.2x = -0.4 + -5.58 14.2x = -0.4 + -5.58 Combine like terms: -0.4 + -5.58 = -5.98 14.2x = -5.98 Divide each side by '14.2'. x = -0.4211267606 Simplifying x = -0.4211267606
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