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Simplifying 2(0.09x + -1) = 5(0.03x + 0.23) Reorder the terms: 2(-1 + 0.09x) = 5(0.03x + 0.23) (-1 * 2 + 0.09x * 2) = 5(0.03x + 0.23) (-2 + 0.18x) = 5(0.03x + 0.23) Reorder the terms: -2 + 0.18x = 5(0.23 + 0.03x) -2 + 0.18x = (0.23 * 5 + 0.03x * 5) -2 + 0.18x = (1.15 + 0.15x) Solving -2 + 0.18x = 1.15 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. -2 + 0.18x + -0.15x = 1.15 + 0.15x + -0.15x Combine like terms: 0.18x + -0.15x = 0.03x -2 + 0.03x = 1.15 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -2 + 0.03x = 1.15 + 0.00 -2 + 0.03x = 1.15 Add '2' to each side of the equation. -2 + 2 + 0.03x = 1.15 + 2 Combine like terms: -2 + 2 = 0 0 + 0.03x = 1.15 + 2 0.03x = 1.15 + 2 Combine like terms: 1.15 + 2 = 3.15 0.03x = 3.15 Divide each side by '0.03'. x = 105 Simplifying x = 105
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