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Simplifying 0.7(x + -17) = -0.3(x + -0.5) Reorder the terms: 0.7(-17 + x) = -0.3(x + -0.5) (-17 * 0.7 + x * 0.7) = -0.3(x + -0.5) (-11.9 + 0.7x) = -0.3(x + -0.5) Reorder the terms: -11.9 + 0.7x = -0.3(-0.5 + x) -11.9 + 0.7x = (-0.5 * -0.3 + x * -0.3) -11.9 + 0.7x = (0.15 + -0.3x) Solving -11.9 + 0.7x = 0.15 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -11.9 + 0.7x + 0.3x = 0.15 + -0.3x + 0.3x Combine like terms: 0.7x + 0.3x = 1x -11.9 + 1x = 0.15 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -11.9 + 1x = 0.15 + 0.0 -11.9 + 1x = 0.15 Add '11.9' to each side of the equation. -11.9 + 11.9 + 1x = 0.15 + 11.9 Combine like terms: -11.9 + 11.9 = 0.0 0.0 + 1x = 0.15 + 11.9 1x = 0.15 + 11.9 Combine like terms: 0.15 + 11.9 = 12.05 1x = 12.05 Divide each side by '1'. x = 12.05 Simplifying x = 12.05
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