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Simplifying -4(x + 0.7) + 3(2x + -0.2) = 3(x + 0.4) Reorder the terms: -4(0.7 + x) + 3(2x + -0.2) = 3(x + 0.4) (0.7 * -4 + x * -4) + 3(2x + -0.2) = 3(x + 0.4) (-2.8 + -4x) + 3(2x + -0.2) = 3(x + 0.4) Reorder the terms: -2.8 + -4x + 3(-0.2 + 2x) = 3(x + 0.4) -2.8 + -4x + (-0.2 * 3 + 2x * 3) = 3(x + 0.4) -2.8 + -4x + (-0.6 + 6x) = 3(x + 0.4) Reorder the terms: -2.8 + -0.6 + -4x + 6x = 3(x + 0.4) Combine like terms: -2.8 + -0.6 = -3.4 -3.4 + -4x + 6x = 3(x + 0.4) Combine like terms: -4x + 6x = 2x -3.4 + 2x = 3(x + 0.4) Reorder the terms: -3.4 + 2x = 3(0.4 + x) -3.4 + 2x = (0.4 * 3 + x * 3) -3.4 + 2x = (1.2 + 3x) Solving -3.4 + 2x = 1.2 + 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. -3.4 + 2x + -3x = 1.2 + 3x + -3x Combine like terms: 2x + -3x = -1x -3.4 + -1x = 1.2 + 3x + -3x Combine like terms: 3x + -3x = 0 -3.4 + -1x = 1.2 + 0 -3.4 + -1x = 1.2 Add '3.4' to each side of the equation. -3.4 + 3.4 + -1x = 1.2 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + -1x = 1.2 + 3.4 -1x = 1.2 + 3.4 Combine like terms: 1.2 + 3.4 = 4.6 -1x = 4.6 Divide each side by '-1'. x = -4.6 Simplifying x = -4.6
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