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Simplifying 0.67(x + -3) + 0.5 = 0.75x + 7 Reorder the terms: 0.67(-3 + x) + 0.5 = 0.75x + 7 (-3 * 0.67 + x * 0.67) + 0.5 = 0.75x + 7 (-2.01 + 0.67x) + 0.5 = 0.75x + 7 Reorder the terms: -2.01 + 0.5 + 0.67x = 0.75x + 7 Combine like terms: -2.01 + 0.5 = -1.51 -1.51 + 0.67x = 0.75x + 7 Reorder the terms: -1.51 + 0.67x = 7 + 0.75x Solving -1.51 + 0.67x = 7 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -1.51 + 0.67x + -0.75x = 7 + 0.75x + -0.75x Combine like terms: 0.67x + -0.75x = -0.08x -1.51 + -0.08x = 7 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -1.51 + -0.08x = 7 + 0.00 -1.51 + -0.08x = 7 Add '1.51' to each side of the equation. -1.51 + 1.51 + -0.08x = 7 + 1.51 Combine like terms: -1.51 + 1.51 = 0.00 0.00 + -0.08x = 7 + 1.51 -0.08x = 7 + 1.51 Combine like terms: 7 + 1.51 = 8.51 -0.08x = 8.51 Divide each side by '-0.08'. x = -106.375 Simplifying x = -106.375
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