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Simplifying 0.375x + 12 = 7(5 + -2) + x Reorder the terms: 12 + 0.375x = 7(5 + -2) + x Combine like terms: 5 + -2 = 3 12 + 0.375x = 7(3) + x Multiply 7 * 3 12 + 0.375x = 21 + x Solving 12 + 0.375x = 21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 0.375x + -1x = 21 + x + -1x Combine like terms: 0.375x + -1x = -0.625x 12 + -0.625x = 21 + x + -1x Combine like terms: x + -1x = 0 12 + -0.625x = 21 + 0 12 + -0.625x = 21 Add '-12' to each side of the equation. 12 + -12 + -0.625x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -0.625x = 21 + -12 -0.625x = 21 + -12 Combine like terms: 21 + -12 = 9 -0.625x = 9 Divide each side by '-0.625'. x = -14.4 Simplifying x = -14.4
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