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Simplifying 8x + -3(0.5 + 10x) = -2 + -22.4x 8x + (0.5 * -3 + 10x * -3) = -2 + -22.4x 8x + (-1.5 + -30x) = -2 + -22.4x Reorder the terms: -1.5 + 8x + -30x = -2 + -22.4x Combine like terms: 8x + -30x = -22x -1.5 + -22x = -2 + -22.4x Solving -1.5 + -22x = -2 + -22.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22.4x' to each side of the equation. -1.5 + -22x + 22.4x = -2 + -22.4x + 22.4x Combine like terms: -22x + 22.4x = 0.4x -1.5 + 0.4x = -2 + -22.4x + 22.4x Combine like terms: -22.4x + 22.4x = 0.0 -1.5 + 0.4x = -2 + 0.0 -1.5 + 0.4x = -2 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.4x = -2 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.4x = -2 + 1.5 0.4x = -2 + 1.5 Combine like terms: -2 + 1.5 = -0.5 0.4x = -0.5 Divide each side by '0.4'. x = -1.25 Simplifying x = -1.25
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