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Simplifying 4 + -0.3(x + 1) = 5.2 + -0.6x Reorder the terms: 4 + -0.3(1 + x) = 5.2 + -0.6x 4 + (1 * -0.3 + x * -0.3) = 5.2 + -0.6x 4 + (-0.3 + -0.3x) = 5.2 + -0.6x Combine like terms: 4 + -0.3 = 3.7 3.7 + -0.3x = 5.2 + -0.6x Solving 3.7 + -0.3x = 5.2 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 3.7 + -0.3x + 0.6x = 5.2 + -0.6x + 0.6x Combine like terms: -0.3x + 0.6x = 0.3x 3.7 + 0.3x = 5.2 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 3.7 + 0.3x = 5.2 + 0.0 3.7 + 0.3x = 5.2 Add '-3.7' to each side of the equation. 3.7 + -3.7 + 0.3x = 5.2 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + 0.3x = 5.2 + -3.7 0.3x = 5.2 + -3.7 Combine like terms: 5.2 + -3.7 = 1.5 0.3x = 1.5 Divide each side by '0.3'. x = 5 Simplifying x = 5
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