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Simplifying 3.4x + 6 = 0.4(x + -15) Reorder the terms: 6 + 3.4x = 0.4(x + -15) Reorder the terms: 6 + 3.4x = 0.4(-15 + x) 6 + 3.4x = (-15 * 0.4 + x * 0.4) 6 + 3.4x = (-6 + 0.4x) Solving 6 + 3.4x = -6 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 6 + 3.4x + -0.4x = -6 + 0.4x + -0.4x Combine like terms: 3.4x + -0.4x = 3x 6 + 3x = -6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 6 + 3x = -6 + 0.0 6 + 3x = -6 Add '-6' to each side of the equation. 6 + -6 + 3x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -6 + -6 3x = -6 + -6 Combine like terms: -6 + -6 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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