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Simplifying 0.3(2x + 7) + 10.4 = 0.7(2x + -5) Reorder the terms: 0.3(7 + 2x) + 10.4 = 0.7(2x + -5) (7 * 0.3 + 2x * 0.3) + 10.4 = 0.7(2x + -5) (2.1 + 0.6x) + 10.4 = 0.7(2x + -5) Reorder the terms: 2.1 + 10.4 + 0.6x = 0.7(2x + -5) Combine like terms: 2.1 + 10.4 = 12.5 12.5 + 0.6x = 0.7(2x + -5) Reorder the terms: 12.5 + 0.6x = 0.7(-5 + 2x) 12.5 + 0.6x = (-5 * 0.7 + 2x * 0.7) 12.5 + 0.6x = (-3.5 + 1.4x) Solving 12.5 + 0.6x = -3.5 + 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. 12.5 + 0.6x + -1.4x = -3.5 + 1.4x + -1.4x Combine like terms: 0.6x + -1.4x = -0.8x 12.5 + -0.8x = -3.5 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 12.5 + -0.8x = -3.5 + 0.0 12.5 + -0.8x = -3.5 Add '-12.5' to each side of the equation. 12.5 + -12.5 + -0.8x = -3.5 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -0.8x = -3.5 + -12.5 -0.8x = -3.5 + -12.5 Combine like terms: -3.5 + -12.5 = -16 -0.8x = -16 Divide each side by '-0.8'. x = 20 Simplifying x = 20
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