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Simplifying 0.16x + 0.3(x + -4) = 0.01(6x + -7) Reorder the terms: 0.16x + 0.3(-4 + x) = 0.01(6x + -7) 0.16x + (-4 * 0.3 + x * 0.3) = 0.01(6x + -7) 0.16x + (-1.2 + 0.3x) = 0.01(6x + -7) Reorder the terms: -1.2 + 0.16x + 0.3x = 0.01(6x + -7) Combine like terms: 0.16x + 0.3x = 0.46x -1.2 + 0.46x = 0.01(6x + -7) Reorder the terms: -1.2 + 0.46x = 0.01(-7 + 6x) -1.2 + 0.46x = (-7 * 0.01 + 6x * 0.01) -1.2 + 0.46x = (-0.07 + 0.06x) Solving -1.2 + 0.46x = -0.07 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. -1.2 + 0.46x + -0.06x = -0.07 + 0.06x + -0.06x Combine like terms: 0.46x + -0.06x = 0.4x -1.2 + 0.4x = -0.07 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 -1.2 + 0.4x = -0.07 + 0.00 -1.2 + 0.4x = -0.07 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.4x = -0.07 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.4x = -0.07 + 1.2 0.4x = -0.07 + 1.2 Combine like terms: -0.07 + 1.2 = 1.13 0.4x = 1.13 Divide each side by '0.4'. x = 2.825 Simplifying x = 2.825
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