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Simplifying 2x + (-5x) + -24 = 4x + 11 + -1(-28) Reorder the terms: -24 + 2x + (-5x) = 4x + 11 + -1(-28) Combine like terms: 2x + (-5x) = -3x -24 + -3x = 4x + 11 + -1(-28) Multiply -1 * -28 -24 + -3x = 4x + 11 + 28 Reorder the terms: -24 + -3x = 11 + 28 + 4x Combine like terms: 11 + 28 = 39 -24 + -3x = 39 + 4x Solving -24 + -3x = 39 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + -3x + -4x = 39 + 4x + -4x Combine like terms: -3x + -4x = -7x -24 + -7x = 39 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + -7x = 39 + 0 -24 + -7x = 39 Add '24' to each side of the equation. -24 + 24 + -7x = 39 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = 39 + 24 -7x = 39 + 24 Combine like terms: 39 + 24 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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