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Simplifying 0.8(x + 1) + -3(x + 4) = 7(2 + -1x) Reorder the terms: 0.8(1 + x) + -3(x + 4) = 7(2 + -1x) (1 * 0.8 + x * 0.8) + -3(x + 4) = 7(2 + -1x) (0.8 + 0.8x) + -3(x + 4) = 7(2 + -1x) Reorder the terms: 0.8 + 0.8x + -3(4 + x) = 7(2 + -1x) 0.8 + 0.8x + (4 * -3 + x * -3) = 7(2 + -1x) 0.8 + 0.8x + (-12 + -3x) = 7(2 + -1x) Reorder the terms: 0.8 + -12 + 0.8x + -3x = 7(2 + -1x) Combine like terms: 0.8 + -12 = -11.2 -11.2 + 0.8x + -3x = 7(2 + -1x) Combine like terms: 0.8x + -3x = -2.2x -11.2 + -2.2x = 7(2 + -1x) -11.2 + -2.2x = (2 * 7 + -1x * 7) -11.2 + -2.2x = (14 + -7x) Solving -11.2 + -2.2x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -11.2 + -2.2x + 7x = 14 + -7x + 7x Combine like terms: -2.2x + 7x = 4.8x -11.2 + 4.8x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -11.2 + 4.8x = 14 + 0 -11.2 + 4.8x = 14 Add '11.2' to each side of the equation. -11.2 + 11.2 + 4.8x = 14 + 11.2 Combine like terms: -11.2 + 11.2 = 0.0 0.0 + 4.8x = 14 + 11.2 4.8x = 14 + 11.2 Combine like terms: 14 + 11.2 = 25.2 4.8x = 25.2 Divide each side by '4.8'. x = 5.25 Simplifying x = 5.25
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