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Simplifying -1.4(x + -15) = -2.4(x + -0.5) Reorder the terms: -1.4(-15 + x) = -2.4(x + -0.5) (-15 * -1.4 + x * -1.4) = -2.4(x + -0.5) (21 + -1.4x) = -2.4(x + -0.5) Reorder the terms: 21 + -1.4x = -2.4(-0.5 + x) 21 + -1.4x = (-0.5 * -2.4 + x * -2.4) 21 + -1.4x = (1.2 + -2.4x) Solving 21 + -1.4x = 1.2 + -2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.4x' to each side of the equation. 21 + -1.4x + 2.4x = 1.2 + -2.4x + 2.4x Combine like terms: -1.4x + 2.4x = 1x 21 + 1x = 1.2 + -2.4x + 2.4x Combine like terms: -2.4x + 2.4x = 0.0 21 + 1x = 1.2 + 0.0 21 + 1x = 1.2 Add '-21' to each side of the equation. 21 + -21 + 1x = 1.2 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 1.2 + -21 1x = 1.2 + -21 Combine like terms: 1.2 + -21 = -19.8 1x = -19.8 Divide each side by '1'. x = -19.8 Simplifying x = -19.8
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