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Simplifying -6.9x + 23.3831 = -1.1(x + -4.237) Reorder the terms: 23.3831 + -6.9x = -1.1(x + -4.237) Reorder the terms: 23.3831 + -6.9x = -1.1(-4.237 + x) 23.3831 + -6.9x = (-4.237 * -1.1 + x * -1.1) 23.3831 + -6.9x = (4.6607 + -1.1x) Solving 23.3831 + -6.9x = 4.6607 + -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. 23.3831 + -6.9x + 1.1x = 4.6607 + -1.1x + 1.1x Combine like terms: -6.9x + 1.1x = -5.8x 23.3831 + -5.8x = 4.6607 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 23.3831 + -5.8x = 4.6607 + 0.0 23.3831 + -5.8x = 4.6607 Add '-23.3831' to each side of the equation. 23.3831 + -23.3831 + -5.8x = 4.6607 + -23.3831 Combine like terms: 23.3831 + -23.3831 = 0.0000 0.0000 + -5.8x = 4.6607 + -23.3831 -5.8x = 4.6607 + -23.3831 Combine like terms: 4.6607 + -23.3831 = -18.7224 -5.8x = -18.7224 Divide each side by '-5.8'. x = 3.228 Simplifying x = 3.228
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