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Simplifying 0.4(0.3x + -0.2) + 0.6 + -2 = 7(0.2x + 2) + 18 Reorder the terms: 0.4(-0.2 + 0.3x) + 0.6 + -2 = 7(0.2x + 2) + 18 (-0.2 * 0.4 + 0.3x * 0.4) + 0.6 + -2 = 7(0.2x + 2) + 18 (-0.08 + 0.12x) + 0.6 + -2 = 7(0.2x + 2) + 18 Reorder the terms: -0.08 + 0.6 + -2 + 0.12x = 7(0.2x + 2) + 18 Combine like terms: -0.08 + 0.6 = 0.52 0.52 + -2 + 0.12x = 7(0.2x + 2) + 18 Combine like terms: 0.52 + -2 = -1.48 -1.48 + 0.12x = 7(0.2x + 2) + 18 Reorder the terms: -1.48 + 0.12x = 7(2 + 0.2x) + 18 -1.48 + 0.12x = (2 * 7 + 0.2x * 7) + 18 -1.48 + 0.12x = (14 + 1.4x) + 18 Reorder the terms: -1.48 + 0.12x = 14 + 18 + 1.4x Combine like terms: 14 + 18 = 32 -1.48 + 0.12x = 32 + 1.4x Solving -1.48 + 0.12x = 32 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -1.48 + 0.12x + -1.4x = 32 + 1.4x + -1.4x Combine like terms: 0.12x + -1.4x = -1.28x -1.48 + -1.28x = 32 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -1.48 + -1.28x = 32 + 0.0 -1.48 + -1.28x = 32 Add '1.48' to each side of the equation. -1.48 + 1.48 + -1.28x = 32 + 1.48 Combine like terms: -1.48 + 1.48 = 0.00 0.00 + -1.28x = 32 + 1.48 -1.28x = 32 + 1.48 Combine like terms: 32 + 1.48 = 33.48 -1.28x = 33.48 Divide each side by '-1.28'. x = -26.15625 Simplifying x = -26.15625
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