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Simplifying 0.15x + 0.8(x + -5) = 0.01(4x + -4) Reorder the terms: 0.15x + 0.8(-5 + x) = 0.01(4x + -4) 0.15x + (-5 * 0.8 + x * 0.8) = 0.01(4x + -4) 0.15x + (-4 + 0.8x) = 0.01(4x + -4) Reorder the terms: -4 + 0.15x + 0.8x = 0.01(4x + -4) Combine like terms: 0.15x + 0.8x = 0.95x -4 + 0.95x = 0.01(4x + -4) Reorder the terms: -4 + 0.95x = 0.01(-4 + 4x) -4 + 0.95x = (-4 * 0.01 + 4x * 0.01) -4 + 0.95x = (-0.04 + 0.04x) Solving -4 + 0.95x = -0.04 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -4 + 0.95x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: 0.95x + -0.04x = 0.91x -4 + 0.91x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -4 + 0.91x = -0.04 + 0.00 -4 + 0.91x = -0.04 Add '4' to each side of the equation. -4 + 4 + 0.91x = -0.04 + 4 Combine like terms: -4 + 4 = 0 0 + 0.91x = -0.04 + 4 0.91x = -0.04 + 4 Combine like terms: -0.04 + 4 = 3.96 0.91x = 3.96 Divide each side by '0.91'. x = 4.351648352 Simplifying x = 4.351648352
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