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Simplifying 8.93 + -0.11(x + 3) = 1.25x + 0.9(x + -3) Reorder the terms: 8.93 + -0.11(3 + x) = 1.25x + 0.9(x + -3) 8.93 + (3 * -0.11 + x * -0.11) = 1.25x + 0.9(x + -3) 8.93 + (-0.33 + -0.11x) = 1.25x + 0.9(x + -3) Combine like terms: 8.93 + -0.33 = 8.6 8.6 + -0.11x = 1.25x + 0.9(x + -3) Reorder the terms: 8.6 + -0.11x = 1.25x + 0.9(-3 + x) 8.6 + -0.11x = 1.25x + (-3 * 0.9 + x * 0.9) 8.6 + -0.11x = 1.25x + (-2.7 + 0.9x) Reorder the terms: 8.6 + -0.11x = -2.7 + 1.25x + 0.9x Combine like terms: 1.25x + 0.9x = 2.15x 8.6 + -0.11x = -2.7 + 2.15x Solving 8.6 + -0.11x = -2.7 + 2.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.15x' to each side of the equation. 8.6 + -0.11x + -2.15x = -2.7 + 2.15x + -2.15x Combine like terms: -0.11x + -2.15x = -2.26x 8.6 + -2.26x = -2.7 + 2.15x + -2.15x Combine like terms: 2.15x + -2.15x = 0.00 8.6 + -2.26x = -2.7 + 0.00 8.6 + -2.26x = -2.7 Add '-8.6' to each side of the equation. 8.6 + -8.6 + -2.26x = -2.7 + -8.6 Combine like terms: 8.6 + -8.6 = 0.0 0.0 + -2.26x = -2.7 + -8.6 -2.26x = -2.7 + -8.6 Combine like terms: -2.7 + -8.6 = -11.3 -2.26x = -11.3 Divide each side by '-2.26'. x = 5 Simplifying x = 5
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