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Simplifying 0.03(3x + -36) = -0.9(x + -1) Reorder the terms: 0.03(-36 + 3x) = -0.9(x + -1) (-36 * 0.03 + 3x * 0.03) = -0.9(x + -1) (-1.08 + 0.09x) = -0.9(x + -1) Reorder the terms: -1.08 + 0.09x = -0.9(-1 + x) -1.08 + 0.09x = (-1 * -0.9 + x * -0.9) -1.08 + 0.09x = (0.9 + -0.9x) Solving -1.08 + 0.09x = 0.9 + -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. -1.08 + 0.09x + 0.9x = 0.9 + -0.9x + 0.9x Combine like terms: 0.09x + 0.9x = 0.99x -1.08 + 0.99x = 0.9 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -1.08 + 0.99x = 0.9 + 0.0 -1.08 + 0.99x = 0.9 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.99x = 0.9 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.99x = 0.9 + 1.08 0.99x = 0.9 + 1.08 Combine like terms: 0.9 + 1.08 = 1.98 0.99x = 1.98 Divide each side by '0.99'. x = 2 Simplifying x = 2
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