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Simplifying 48 + -1.6(3x + -4) + 4x = 4(16 + -1x) Reorder the terms: 48 + -1.6(-4 + 3x) + 4x = 4(16 + -1x) 48 + (-4 * -1.6 + 3x * -1.6) + 4x = 4(16 + -1x) 48 + (6.4 + -4.8x) + 4x = 4(16 + -1x) Combine like terms: 48 + 6.4 = 54.4 54.4 + -4.8x + 4x = 4(16 + -1x) Combine like terms: -4.8x + 4x = -0.8x 54.4 + -0.8x = 4(16 + -1x) 54.4 + -0.8x = (16 * 4 + -1x * 4) 54.4 + -0.8x = (64 + -4x) Solving 54.4 + -0.8x = 64 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 54.4 + -0.8x + 4x = 64 + -4x + 4x Combine like terms: -0.8x + 4x = 3.2x 54.4 + 3.2x = 64 + -4x + 4x Combine like terms: -4x + 4x = 0 54.4 + 3.2x = 64 + 0 54.4 + 3.2x = 64 Add '-54.4' to each side of the equation. 54.4 + -54.4 + 3.2x = 64 + -54.4 Combine like terms: 54.4 + -54.4 = 0.0 0.0 + 3.2x = 64 + -54.4 3.2x = 64 + -54.4 Combine like terms: 64 + -54.4 = 9.6 3.2x = 9.6 Divide each side by '3.2'. x = 3 Simplifying x = 3
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