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Simplifying 0.92 + 0.9(x + -0.3) = 2x + -5.95 Reorder the terms: 0.92 + 0.9(-0.3 + x) = 2x + -5.95 0.92 + (-0.3 * 0.9 + x * 0.9) = 2x + -5.95 0.92 + (-0.27 + 0.9x) = 2x + -5.95 Combine like terms: 0.92 + -0.27 = 0.65 0.65 + 0.9x = 2x + -5.95 Reorder the terms: 0.65 + 0.9x = -5.95 + 2x Solving 0.65 + 0.9x = -5.95 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.65 + 0.9x + -2x = -5.95 + 2x + -2x Combine like terms: 0.9x + -2x = -1.1x 0.65 + -1.1x = -5.95 + 2x + -2x Combine like terms: 2x + -2x = 0 0.65 + -1.1x = -5.95 + 0 0.65 + -1.1x = -5.95 Add '-0.65' to each side of the equation. 0.65 + -0.65 + -1.1x = -5.95 + -0.65 Combine like terms: 0.65 + -0.65 = 0.00 0.00 + -1.1x = -5.95 + -0.65 -1.1x = -5.95 + -0.65 Combine like terms: -5.95 + -0.65 = -6.6 -1.1x = -6.6 Divide each side by '-1.1'. x = 6 Simplifying x = 6
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