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Simplifying 0.8(3x + -9) + 14 = 4(0.4x + 7) Reorder the terms: 0.8(-9 + 3x) + 14 = 4(0.4x + 7) (-9 * 0.8 + 3x * 0.8) + 14 = 4(0.4x + 7) (-7.2 + 2.4x) + 14 = 4(0.4x + 7) Reorder the terms: -7.2 + 14 + 2.4x = 4(0.4x + 7) Combine like terms: -7.2 + 14 = 6.8 6.8 + 2.4x = 4(0.4x + 7) Reorder the terms: 6.8 + 2.4x = 4(7 + 0.4x) 6.8 + 2.4x = (7 * 4 + 0.4x * 4) 6.8 + 2.4x = (28 + 1.6x) Solving 6.8 + 2.4x = 28 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 6.8 + 2.4x + -1.6x = 28 + 1.6x + -1.6x Combine like terms: 2.4x + -1.6x = 0.8x 6.8 + 0.8x = 28 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 6.8 + 0.8x = 28 + 0.0 6.8 + 0.8x = 28 Add '-6.8' to each side of the equation. 6.8 + -6.8 + 0.8x = 28 + -6.8 Combine like terms: 6.8 + -6.8 = 0.0 0.0 + 0.8x = 28 + -6.8 0.8x = 28 + -6.8 Combine like terms: 28 + -6.8 = 21.2 0.8x = 21.2 Divide each side by '0.8'. x = 26.5 Simplifying x = 26.5
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