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Simplifying 0.4(3x + 6) + 21.1 = 0.7(3x + -5) Reorder the terms: 0.4(6 + 3x) + 21.1 = 0.7(3x + -5) (6 * 0.4 + 3x * 0.4) + 21.1 = 0.7(3x + -5) (2.4 + 1.2x) + 21.1 = 0.7(3x + -5) Reorder the terms: 2.4 + 21.1 + 1.2x = 0.7(3x + -5) Combine like terms: 2.4 + 21.1 = 23.5 23.5 + 1.2x = 0.7(3x + -5) Reorder the terms: 23.5 + 1.2x = 0.7(-5 + 3x) 23.5 + 1.2x = (-5 * 0.7 + 3x * 0.7) 23.5 + 1.2x = (-3.5 + 2.1x) Solving 23.5 + 1.2x = -3.5 + 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. 23.5 + 1.2x + -2.1x = -3.5 + 2.1x + -2.1x Combine like terms: 1.2x + -2.1x = -0.9x 23.5 + -0.9x = -3.5 + 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 23.5 + -0.9x = -3.5 + 0.0 23.5 + -0.9x = -3.5 Add '-23.5' to each side of the equation. 23.5 + -23.5 + -0.9x = -3.5 + -23.5 Combine like terms: 23.5 + -23.5 = 0.0 0.0 + -0.9x = -3.5 + -23.5 -0.9x = -3.5 + -23.5 Combine like terms: -3.5 + -23.5 = -27 -0.9x = -27 Divide each side by '-0.9'. x = 30 Simplifying x = 30
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