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Simplifying 0.3x + -12 = 0.2(x + -7) + 1.6 Reorder the terms: -12 + 0.3x = 0.2(x + -7) + 1.6 Reorder the terms: -12 + 0.3x = 0.2(-7 + x) + 1.6 -12 + 0.3x = (-7 * 0.2 + x * 0.2) + 1.6 -12 + 0.3x = (-1.4 + 0.2x) + 1.6 Reorder the terms: -12 + 0.3x = -1.4 + 1.6 + 0.2x Combine like terms: -1.4 + 1.6 = 0.2 -12 + 0.3x = 0.2 + 0.2x Solving -12 + 0.3x = 0.2 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -12 + 0.3x + -0.2x = 0.2 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x -12 + 0.1x = 0.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -12 + 0.1x = 0.2 + 0.0 -12 + 0.1x = 0.2 Add '12' to each side of the equation. -12 + 12 + 0.1x = 0.2 + 12 Combine like terms: -12 + 12 = 0 0 + 0.1x = 0.2 + 12 0.1x = 0.2 + 12 Combine like terms: 0.2 + 12 = 12.2 0.1x = 12.2 Divide each side by '0.1'. x = 122 Simplifying x = 122
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