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Simplifying 23 + -3x = -4(7x + 4) + -4(-5 + -6x) Reorder the terms: 23 + -3x = -4(4 + 7x) + -4(-5 + -6x) 23 + -3x = (4 * -4 + 7x * -4) + -4(-5 + -6x) 23 + -3x = (-16 + -28x) + -4(-5 + -6x) 23 + -3x = -16 + -28x + (-5 * -4 + -6x * -4) 23 + -3x = -16 + -28x + (20 + 24x) Reorder the terms: 23 + -3x = -16 + 20 + -28x + 24x Combine like terms: -16 + 20 = 4 23 + -3x = 4 + -28x + 24x Combine like terms: -28x + 24x = -4x 23 + -3x = 4 + -4x Solving 23 + -3x = 4 + -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. 23 + -3x + 4x = 4 + -4x + 4x Combine like terms: -3x + 4x = 1x 23 + 1x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 23 + 1x = 4 + 0 23 + 1x = 4 Add '-23' to each side of the equation. 23 + -23 + 1x = 4 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 4 + -23 1x = 4 + -23 Combine like terms: 4 + -23 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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