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Simplifying 18 + -0.7(x + -2) = 0.4(10x + -2) Reorder the terms: 18 + -0.7(-2 + x) = 0.4(10x + -2) 18 + (-2 * -0.7 + x * -0.7) = 0.4(10x + -2) 18 + (1.4 + -0.7x) = 0.4(10x + -2) Combine like terms: 18 + 1.4 = 19.4 19.4 + -0.7x = 0.4(10x + -2) Reorder the terms: 19.4 + -0.7x = 0.4(-2 + 10x) 19.4 + -0.7x = (-2 * 0.4 + 10x * 0.4) 19.4 + -0.7x = (-0.8 + 4x) Solving 19.4 + -0.7x = -0.8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 19.4 + -0.7x + -4x = -0.8 + 4x + -4x Combine like terms: -0.7x + -4x = -4.7x 19.4 + -4.7x = -0.8 + 4x + -4x Combine like terms: 4x + -4x = 0 19.4 + -4.7x = -0.8 + 0 19.4 + -4.7x = -0.8 Add '-19.4' to each side of the equation. 19.4 + -19.4 + -4.7x = -0.8 + -19.4 Combine like terms: 19.4 + -19.4 = 0.0 0.0 + -4.7x = -0.8 + -19.4 -4.7x = -0.8 + -19.4 Combine like terms: -0.8 + -19.4 = -20.2 -4.7x = -20.2 Divide each side by '-4.7'. x = 4.29787234 Simplifying x = 4.29787234
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