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Simplifying 3(2x + -1.3) = 2(3x + -2.1) + -3(x + -0.7) Reorder the terms: 3(-1.3 + 2x) = 2(3x + -2.1) + -3(x + -0.7) (-1.3 * 3 + 2x * 3) = 2(3x + -2.1) + -3(x + -0.7) (-3.9 + 6x) = 2(3x + -2.1) + -3(x + -0.7) Reorder the terms: -3.9 + 6x = 2(-2.1 + 3x) + -3(x + -0.7) -3.9 + 6x = (-2.1 * 2 + 3x * 2) + -3(x + -0.7) -3.9 + 6x = (-4.2 + 6x) + -3(x + -0.7) Reorder the terms: -3.9 + 6x = -4.2 + 6x + -3(-0.7 + x) -3.9 + 6x = -4.2 + 6x + (-0.7 * -3 + x * -3) -3.9 + 6x = -4.2 + 6x + (2.1 + -3x) Reorder the terms: -3.9 + 6x = -4.2 + 2.1 + 6x + -3x Combine like terms: -4.2 + 2.1 = -2.1 -3.9 + 6x = -2.1 + 6x + -3x Combine like terms: 6x + -3x = 3x -3.9 + 6x = -2.1 + 3x Solving -3.9 + 6x = -2.1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3.9 + 6x + -3x = -2.1 + 3x + -3x Combine like terms: 6x + -3x = 3x -3.9 + 3x = -2.1 + 3x + -3x Combine like terms: 3x + -3x = 0 -3.9 + 3x = -2.1 + 0 -3.9 + 3x = -2.1 Add '3.9' to each side of the equation. -3.9 + 3.9 + 3x = -2.1 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + 3x = -2.1 + 3.9 3x = -2.1 + 3.9 Combine like terms: -2.1 + 3.9 = 1.8 3x = 1.8 Divide each side by '3'. x = 0.6 Simplifying x = 0.6
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