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Simplifying 4x + 11 = -2(5x) + -2(3x + 4.5) Reorder the terms: 11 + 4x = -2(5x) + -2(3x + 4.5) Remove parenthesis around (5x) 11 + 4x = -2 * 5x + -2(3x + 4.5) Multiply -2 * 5 11 + 4x = -10x + -2(3x + 4.5) Reorder the terms: 11 + 4x = -10x + -2(4.5 + 3x) 11 + 4x = -10x + (4.5 * -2 + 3x * -2) 11 + 4x = -10x + (-9 + -6x) Reorder the terms: 11 + 4x = -9 + -10x + -6x Combine like terms: -10x + -6x = -16x 11 + 4x = -9 + -16x Solving 11 + 4x = -9 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 11 + 4x + 16x = -9 + -16x + 16x Combine like terms: 4x + 16x = 20x 11 + 20x = -9 + -16x + 16x Combine like terms: -16x + 16x = 0 11 + 20x = -9 + 0 11 + 20x = -9 Add '-11' to each side of the equation. 11 + -11 + 20x = -9 + -11 Combine like terms: 11 + -11 = 0 0 + 20x = -9 + -11 20x = -9 + -11 Combine like terms: -9 + -11 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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