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Simplifying 5[2 + -3(x + -8)] = 26 + -8x Reorder the terms: 5[2 + -3(-8 + x)] = 26 + -8x 5[2 + (-8 * -3 + x * -3)] = 26 + -8x 5[2 + (24 + -3x)] = 26 + -8x Combine like terms: 2 + 24 = 26 5[26 + -3x] = 26 + -8x [26 * 5 + -3x * 5] = 26 + -8x [130 + -15x] = 26 + -8x Solving 130 + -15x = 26 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 130 + -15x + 8x = 26 + -8x + 8x Combine like terms: -15x + 8x = -7x 130 + -7x = 26 + -8x + 8x Combine like terms: -8x + 8x = 0 130 + -7x = 26 + 0 130 + -7x = 26 Add '-130' to each side of the equation. 130 + -130 + -7x = 26 + -130 Combine like terms: 130 + -130 = 0 0 + -7x = 26 + -130 -7x = 26 + -130 Combine like terms: 26 + -130 = -104 -7x = -104 Divide each side by '-7'. x = 14.85714286 Simplifying x = 14.85714286
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