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Simplifying 0.3(x + -6) = 3x + -2(x + -1) + 2.6 Reorder the terms: 0.3(-6 + x) = 3x + -2(x + -1) + 2.6 (-6 * 0.3 + x * 0.3) = 3x + -2(x + -1) + 2.6 (-1.8 + 0.3x) = 3x + -2(x + -1) + 2.6 Reorder the terms: -1.8 + 0.3x = 3x + -2(-1 + x) + 2.6 -1.8 + 0.3x = 3x + (-1 * -2 + x * -2) + 2.6 -1.8 + 0.3x = 3x + (2 + -2x) + 2.6 Reorder the terms: -1.8 + 0.3x = 2 + 2.6 + 3x + -2x Combine like terms: 2 + 2.6 = 4.6 -1.8 + 0.3x = 4.6 + 3x + -2x Combine like terms: 3x + -2x = 1x -1.8 + 0.3x = 4.6 + 1x Solving -1.8 + 0.3x = 4.6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1.8 + 0.3x + -1x = 4.6 + 1x + -1x Combine like terms: 0.3x + -1x = -0.7x -1.8 + -0.7x = 4.6 + 1x + -1x Combine like terms: 1x + -1x = 0 -1.8 + -0.7x = 4.6 + 0 -1.8 + -0.7x = 4.6 Add '1.8' to each side of the equation. -1.8 + 1.8 + -0.7x = 4.6 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -0.7x = 4.6 + 1.8 -0.7x = 4.6 + 1.8 Combine like terms: 4.6 + 1.8 = 6.4 -0.7x = 6.4 Divide each side by '-0.7'. x = -9.142857143 Simplifying x = -9.142857143
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