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Simplifying 7.4(x + -1.2) = 8.4(x + -0.5) Reorder the terms: 7.4(-1.2 + x) = 8.4(x + -0.5) (-1.2 * 7.4 + x * 7.4) = 8.4(x + -0.5) (-8.88 + 7.4x) = 8.4(x + -0.5) Reorder the terms: -8.88 + 7.4x = 8.4(-0.5 + x) -8.88 + 7.4x = (-0.5 * 8.4 + x * 8.4) -8.88 + 7.4x = (-4.2 + 8.4x) Solving -8.88 + 7.4x = -4.2 + 8.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.4x' to each side of the equation. -8.88 + 7.4x + -8.4x = -4.2 + 8.4x + -8.4x Combine like terms: 7.4x + -8.4x = -1x -8.88 + -1x = -4.2 + 8.4x + -8.4x Combine like terms: 8.4x + -8.4x = 0.0 -8.88 + -1x = -4.2 + 0.0 -8.88 + -1x = -4.2 Add '8.88' to each side of the equation. -8.88 + 8.88 + -1x = -4.2 + 8.88 Combine like terms: -8.88 + 8.88 = 0.00 0.00 + -1x = -4.2 + 8.88 -1x = -4.2 + 8.88 Combine like terms: -4.2 + 8.88 = 4.68 -1x = 4.68 Divide each side by '-1'. x = -4.68 Simplifying x = -4.68
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