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Simplifying X + 10 = 8(3(x + -10)) + 8(2(x + -5)) Reorder the terms: 10 + X = 8(3(x + -10)) + 8(2(x + -5)) Reorder the terms: 10 + X = 8(3(-10 + x)) + 8(2(x + -5)) 10 + X = 8((-10 * 3 + x * 3)) + 8(2(x + -5)) 10 + X = 8((-30 + 3x)) + 8(2(x + -5)) 10 + X = (-30 * 8 + 3x * 8) + 8(2(x + -5)) 10 + X = (-240 + 24x) + 8(2(x + -5)) Reorder the terms: 10 + X = -240 + 24x + 8(2(-5 + x)) 10 + X = -240 + 24x + 8((-5 * 2 + x * 2)) 10 + X = -240 + 24x + 8((-10 + 2x)) 10 + X = -240 + 24x + (-10 * 8 + 2x * 8) 10 + X = -240 + 24x + (-80 + 16x) Reorder the terms: 10 + X = -240 + -80 + 24x + 16x Combine like terms: -240 + -80 = -320 10 + X = -320 + 24x + 16x Combine like terms: 24x + 16x = 40x 10 + X = -320 + 40x Solving 10 + X = -320 + 40x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + X = -320 + -10 + 40x Combine like terms: 10 + -10 = 0 0 + X = -320 + -10 + 40x X = -320 + -10 + 40x Combine like terms: -320 + -10 = -330 X = -330 + 40x Simplifying X = -330 + 40x
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