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Simplifying 0.15x + 0.7(x + -1) = 0.01(3x + -4) Reorder the terms: 0.15x + 0.7(-1 + x) = 0.01(3x + -4) 0.15x + (-1 * 0.7 + x * 0.7) = 0.01(3x + -4) 0.15x + (-0.7 + 0.7x) = 0.01(3x + -4) Reorder the terms: -0.7 + 0.15x + 0.7x = 0.01(3x + -4) Combine like terms: 0.15x + 0.7x = 0.85x -0.7 + 0.85x = 0.01(3x + -4) Reorder the terms: -0.7 + 0.85x = 0.01(-4 + 3x) -0.7 + 0.85x = (-4 * 0.01 + 3x * 0.01) -0.7 + 0.85x = (-0.04 + 0.03x) Solving -0.7 + 0.85x = -0.04 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -0.7 + 0.85x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.85x + -0.03x = 0.82x -0.7 + 0.82x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.7 + 0.82x = -0.04 + 0.00 -0.7 + 0.82x = -0.04 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.82x = -0.04 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.82x = -0.04 + 0.7 0.82x = -0.04 + 0.7 Combine like terms: -0.04 + 0.7 = 0.66 0.82x = 0.66 Divide each side by '0.82'. x = 0.8048780488 Simplifying x = 0.8048780488
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