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Simplifying 0.3(2x + -1) + -2.3 = 0.04(x + 5) Reorder the terms: 0.3(-1 + 2x) + -2.3 = 0.04(x + 5) (-1 * 0.3 + 2x * 0.3) + -2.3 = 0.04(x + 5) (-0.3 + 0.6x) + -2.3 = 0.04(x + 5) Reorder the terms: -0.3 + -2.3 + 0.6x = 0.04(x + 5) Combine like terms: -0.3 + -2.3 = -2.6 -2.6 + 0.6x = 0.04(x + 5) Reorder the terms: -2.6 + 0.6x = 0.04(5 + x) -2.6 + 0.6x = (5 * 0.04 + x * 0.04) -2.6 + 0.6x = (0.2 + 0.04x) Solving -2.6 + 0.6x = 0.2 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -2.6 + 0.6x + -0.04x = 0.2 + 0.04x + -0.04x Combine like terms: 0.6x + -0.04x = 0.56x -2.6 + 0.56x = 0.2 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2.6 + 0.56x = 0.2 + 0.00 -2.6 + 0.56x = 0.2 Add '2.6' to each side of the equation. -2.6 + 2.6 + 0.56x = 0.2 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 0.56x = 0.2 + 2.6 0.56x = 0.2 + 2.6 Combine like terms: 0.2 + 2.6 = 2.8 0.56x = 2.8 Divide each side by '0.56'. x = 5 Simplifying x = 5
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