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Simplifying -10(78) + 0.95x = 0.05(x + -12) Multiply -10 * 78 -780 + 0.95x = 0.05(x + -12) Reorder the terms: -780 + 0.95x = 0.05(-12 + x) -780 + 0.95x = (-12 * 0.05 + x * 0.05) -780 + 0.95x = (-0.6 + 0.05x) Solving -780 + 0.95x = -0.6 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -780 + 0.95x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.95x + -0.05x = 0.9x -780 + 0.9x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -780 + 0.9x = -0.6 + 0.00 -780 + 0.9x = -0.6 Add '780' to each side of the equation. -780 + 780 + 0.9x = -0.6 + 780 Combine like terms: -780 + 780 = 0 0 + 0.9x = -0.6 + 780 0.9x = -0.6 + 780 Combine like terms: -0.6 + 780 = 779.4 0.9x = 779.4 Divide each side by '0.9'. x = 866 Simplifying x = 866
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