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Simplifying 5(x + 0.2) + -2 = 3x + -0.4 + 49x + -0.05 Reorder the terms: 5(0.2 + x) + -2 = 3x + -0.4 + 49x + -0.05 (0.2 * 5 + x * 5) + -2 = 3x + -0.4 + 49x + -0.05 (1 + 5x) + -2 = 3x + -0.4 + 49x + -0.05 Reorder the terms: 1 + -2 + 5x = 3x + -0.4 + 49x + -0.05 Combine like terms: 1 + -2 = -1 -1 + 5x = 3x + -0.4 + 49x + -0.05 Reorder the terms: -1 + 5x = -0.4 + -0.05 + 3x + 49x Combine like terms: -0.4 + -0.05 = -0.45 -1 + 5x = -0.45 + 3x + 49x Combine like terms: 3x + 49x = 52x -1 + 5x = -0.45 + 52x Solving -1 + 5x = -0.45 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. -1 + 5x + -52x = -0.45 + 52x + -52x Combine like terms: 5x + -52x = -47x -1 + -47x = -0.45 + 52x + -52x Combine like terms: 52x + -52x = 0 -1 + -47x = -0.45 + 0 -1 + -47x = -0.45 Add '1' to each side of the equation. -1 + 1 + -47x = -0.45 + 1 Combine like terms: -1 + 1 = 0 0 + -47x = -0.45 + 1 -47x = -0.45 + 1 Combine like terms: -0.45 + 1 = 0.55 -47x = 0.55 Divide each side by '-47'. x = -0.01170212766 Simplifying x = -0.01170212766
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