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Simplifying (4x + 3) + 2(x + -0.5) = 67.07 Reorder the terms: (3 + 4x) + 2(x + -0.5) = 67.07 Remove parenthesis around (3 + 4x) 3 + 4x + 2(x + -0.5) = 67.07 Reorder the terms: 3 + 4x + 2(-0.5 + x) = 67.07 3 + 4x + (-0.5 * 2 + x * 2) = 67.07 3 + 4x + (-1 + 2x) = 67.07 Reorder the terms: 3 + -1 + 4x + 2x = 67.07 Combine like terms: 3 + -1 = 2 2 + 4x + 2x = 67.07 Combine like terms: 4x + 2x = 6x 2 + 6x = 67.07 Solving 2 + 6x = 67.07 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 67.07 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 67.07 + -2 6x = 67.07 + -2 Combine like terms: 67.07 + -2 = 65.07 6x = 65.07 Divide each side by '6'. x = 10.845 Simplifying x = 10.845
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