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Simplifying X + -1(4x + -7) = 0.5x + -1(x + 21) Reorder the terms: X + -1(-7 + 4x) = 0.5x + -1(x + 21) X + (-7 * -1 + 4x * -1) = 0.5x + -1(x + 21) X + (7 + -4x) = 0.5x + -1(x + 21) Reorder the terms: 7 + X + -4x = 0.5x + -1(x + 21) Reorder the terms: 7 + X + -4x = 0.5x + -1(21 + x) 7 + X + -4x = 0.5x + (21 * -1 + x * -1) 7 + X + -4x = 0.5x + (-21 + -1x) Reorder the terms: 7 + X + -4x = -21 + 0.5x + -1x Combine like terms: 0.5x + -1x = -0.5x 7 + X + -4x = -21 + -0.5x Solving 7 + X + -4x = -21 + -0.5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + X + -7 + -4x = -21 + -7 + -0.5x Reorder the terms: 7 + -7 + X + -4x = -21 + -7 + -0.5x Combine like terms: 7 + -7 = 0 0 + X + -4x = -21 + -7 + -0.5x X + -4x = -21 + -7 + -0.5x Combine like terms: -21 + -7 = -28 X + -4x = -28 + -0.5x Add '4x' to each side of the equation. X + -4x + 4x = -28 + -0.5x + 4x Combine like terms: -4x + 4x = 0 X + 0 = -28 + -0.5x + 4x X = -28 + -0.5x + 4x Combine like terms: -0.5x + 4x = 3.5x X = -28 + 3.5x Simplifying X = -28 + 3.5x
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