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Simplifying 8.93 + -0.11(x + 3) = 1.25 + 0.9(x + -3) Reorder the terms: 8.93 + -0.11(3 + x) = 1.25 + 0.9(x + -3) 8.93 + (3 * -0.11 + x * -0.11) = 1.25 + 0.9(x + -3) 8.93 + (-0.33 + -0.11x) = 1.25 + 0.9(x + -3) Combine like terms: 8.93 + -0.33 = 8.6 8.6 + -0.11x = 1.25 + 0.9(x + -3) Reorder the terms: 8.6 + -0.11x = 1.25 + 0.9(-3 + x) 8.6 + -0.11x = 1.25 + (-3 * 0.9 + x * 0.9) 8.6 + -0.11x = 1.25 + (-2.7 + 0.9x) Combine like terms: 1.25 + -2.7 = -1.45 8.6 + -0.11x = -1.45 + 0.9x Solving 8.6 + -0.11x = -1.45 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 8.6 + -0.11x + -0.9x = -1.45 + 0.9x + -0.9x Combine like terms: -0.11x + -0.9x = -1.01x 8.6 + -1.01x = -1.45 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 8.6 + -1.01x = -1.45 + 0.0 8.6 + -1.01x = -1.45 Add '-8.6' to each side of the equation. 8.6 + -8.6 + -1.01x = -1.45 + -8.6 Combine like terms: 8.6 + -8.6 = 0.0 0.0 + -1.01x = -1.45 + -8.6 -1.01x = -1.45 + -8.6 Combine like terms: -1.45 + -8.6 = -10.05 -1.01x = -10.05 Divide each side by '-1.01'. x = 9.95049505 Simplifying x = 9.95049505
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