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Simplifying 0.16x + 0.3(x + -4) = 0.1(6x + -7) Reorder the terms: 0.16x + 0.3(-4 + x) = 0.1(6x + -7) 0.16x + (-4 * 0.3 + x * 0.3) = 0.1(6x + -7) 0.16x + (-1.2 + 0.3x) = 0.1(6x + -7) Reorder the terms: -1.2 + 0.16x + 0.3x = 0.1(6x + -7) Combine like terms: 0.16x + 0.3x = 0.46x -1.2 + 0.46x = 0.1(6x + -7) Reorder the terms: -1.2 + 0.46x = 0.1(-7 + 6x) -1.2 + 0.46x = (-7 * 0.1 + 6x * 0.1) -1.2 + 0.46x = (-0.7 + 0.6x) Solving -1.2 + 0.46x = -0.7 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -1.2 + 0.46x + -0.6x = -0.7 + 0.6x + -0.6x Combine like terms: 0.46x + -0.6x = -0.14x -1.2 + -0.14x = -0.7 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -1.2 + -0.14x = -0.7 + 0.0 -1.2 + -0.14x = -0.7 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.14x = -0.7 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.14x = -0.7 + 1.2 -0.14x = -0.7 + 1.2 Combine like terms: -0.7 + 1.2 = 0.5 -0.14x = 0.5 Divide each side by '-0.14'. x = -3.571428571 Simplifying x = -3.571428571
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