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Simplifying 0.4(7x + -1) = 3(2x + 1) + -4(x + 6) Reorder the terms: 0.4(-1 + 7x) = 3(2x + 1) + -4(x + 6) (-1 * 0.4 + 7x * 0.4) = 3(2x + 1) + -4(x + 6) (-0.4 + 2.8x) = 3(2x + 1) + -4(x + 6) Reorder the terms: -0.4 + 2.8x = 3(1 + 2x) + -4(x + 6) -0.4 + 2.8x = (1 * 3 + 2x * 3) + -4(x + 6) -0.4 + 2.8x = (3 + 6x) + -4(x + 6) Reorder the terms: -0.4 + 2.8x = 3 + 6x + -4(6 + x) -0.4 + 2.8x = 3 + 6x + (6 * -4 + x * -4) -0.4 + 2.8x = 3 + 6x + (-24 + -4x) Reorder the terms: -0.4 + 2.8x = 3 + -24 + 6x + -4x Combine like terms: 3 + -24 = -21 -0.4 + 2.8x = -21 + 6x + -4x Combine like terms: 6x + -4x = 2x -0.4 + 2.8x = -21 + 2x Solving -0.4 + 2.8x = -21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.4 + 2.8x + -2x = -21 + 2x + -2x Combine like terms: 2.8x + -2x = 0.8x -0.4 + 0.8x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.4 + 0.8x = -21 + 0 -0.4 + 0.8x = -21 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.8x = -21 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.8x = -21 + 0.4 0.8x = -21 + 0.4 Combine like terms: -21 + 0.4 = -20.6 0.8x = -20.6 Divide each side by '0.8'. x = -25.75 Simplifying x = -25.75
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