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Simplifying 3.64 + -0.3(x + 0.3) = x + 0.2(0.6x + -3.5) Reorder the terms: 3.64 + -0.3(0.3 + x) = x + 0.2(0.6x + -3.5) 3.64 + (0.3 * -0.3 + x * -0.3) = x + 0.2(0.6x + -3.5) 3.64 + (-0.09 + -0.3x) = x + 0.2(0.6x + -3.5) Combine like terms: 3.64 + -0.09 = 3.55 3.55 + -0.3x = x + 0.2(0.6x + -3.5) Reorder the terms: 3.55 + -0.3x = x + 0.2(-3.5 + 0.6x) 3.55 + -0.3x = x + (-3.5 * 0.2 + 0.6x * 0.2) 3.55 + -0.3x = x + (-0.7 + 0.12x) Reorder the terms: 3.55 + -0.3x = -0.7 + x + 0.12x Combine like terms: x + 0.12x = 1.12x 3.55 + -0.3x = -0.7 + 1.12x Solving 3.55 + -0.3x = -0.7 + 1.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.12x' to each side of the equation. 3.55 + -0.3x + -1.12x = -0.7 + 1.12x + -1.12x Combine like terms: -0.3x + -1.12x = -1.42x 3.55 + -1.42x = -0.7 + 1.12x + -1.12x Combine like terms: 1.12x + -1.12x = 0.00 3.55 + -1.42x = -0.7 + 0.00 3.55 + -1.42x = -0.7 Add '-3.55' to each side of the equation. 3.55 + -3.55 + -1.42x = -0.7 + -3.55 Combine like terms: 3.55 + -3.55 = 0.00 0.00 + -1.42x = -0.7 + -3.55 -1.42x = -0.7 + -3.55 Combine like terms: -0.7 + -3.55 = -4.25 -1.42x = -4.25 Divide each side by '-1.42'. x = 2.992957746 Simplifying x = 2.992957746
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