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Simplifying 8(5 + -2x) + 4 = 3 + -2(x + 6) (5 * 8 + -2x * 8) + 4 = 3 + -2(x + 6) (40 + -16x) + 4 = 3 + -2(x + 6) Reorder the terms: 40 + 4 + -16x = 3 + -2(x + 6) Combine like terms: 40 + 4 = 44 44 + -16x = 3 + -2(x + 6) Reorder the terms: 44 + -16x = 3 + -2(6 + x) 44 + -16x = 3 + (6 * -2 + x * -2) 44 + -16x = 3 + (-12 + -2x) Combine like terms: 3 + -12 = -9 44 + -16x = -9 + -2x Solving 44 + -16x = -9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 44 + -16x + 2x = -9 + -2x + 2x Combine like terms: -16x + 2x = -14x 44 + -14x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 44 + -14x = -9 + 0 44 + -14x = -9 Add '-44' to each side of the equation. 44 + -44 + -14x = -9 + -44 Combine like terms: 44 + -44 = 0 0 + -14x = -9 + -44 -14x = -9 + -44 Combine like terms: -9 + -44 = -53 -14x = -53 Divide each side by '-14'. x = 3.785714286 Simplifying x = 3.785714286
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