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Simplifying 7(4x + 5) = 6(x + -2) + 15 Reorder the terms: 7(5 + 4x) = 6(x + -2) + 15 (5 * 7 + 4x * 7) = 6(x + -2) + 15 (35 + 28x) = 6(x + -2) + 15 Reorder the terms: 35 + 28x = 6(-2 + x) + 15 35 + 28x = (-2 * 6 + x * 6) + 15 35 + 28x = (-12 + 6x) + 15 Reorder the terms: 35 + 28x = -12 + 15 + 6x Combine like terms: -12 + 15 = 3 35 + 28x = 3 + 6x Solving 35 + 28x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + 28x + -6x = 3 + 6x + -6x Combine like terms: 28x + -6x = 22x 35 + 22x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + 22x = 3 + 0 35 + 22x = 3 Add '-35' to each side of the equation. 35 + -35 + 22x = 3 + -35 Combine like terms: 35 + -35 = 0 0 + 22x = 3 + -35 22x = 3 + -35 Combine like terms: 3 + -35 = -32 22x = -32 Divide each side by '22'. x = -1.454545455 Simplifying x = -1.454545455
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