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Simplifying 0.3(4x + 7) + -2.7 = 0.2(4x + -5) Reorder the terms: 0.3(7 + 4x) + -2.7 = 0.2(4x + -5) (7 * 0.3 + 4x * 0.3) + -2.7 = 0.2(4x + -5) (2.1 + 1.2x) + -2.7 = 0.2(4x + -5) Reorder the terms: 2.1 + -2.7 + 1.2x = 0.2(4x + -5) Combine like terms: 2.1 + -2.7 = -0.6 -0.6 + 1.2x = 0.2(4x + -5) Reorder the terms: -0.6 + 1.2x = 0.2(-5 + 4x) -0.6 + 1.2x = (-5 * 0.2 + 4x * 0.2) -0.6 + 1.2x = (-1 + 0.8x) Solving -0.6 + 1.2x = -1 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -0.6 + 1.2x + -0.8x = -1 + 0.8x + -0.8x Combine like terms: 1.2x + -0.8x = 0.4x -0.6 + 0.4x = -1 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.6 + 0.4x = -1 + 0.0 -0.6 + 0.4x = -1 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.4x = -1 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.4x = -1 + 0.6 0.4x = -1 + 0.6 Combine like terms: -1 + 0.6 = -0.4 0.4x = -0.4 Divide each side by '0.4'. x = -1 Simplifying x = -1
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