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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 = -36 23 + -3x = -36 + -28x + 24x Combine like terms: -28x + 24x = -4x 23 + -3x = -36 + -4x Solving 23 + -3x = -36 + -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 = -36 + -4x + 4x Combine like terms: -3x + 4x = 1x 23 + 1x = -36 + -4x + 4x Combine like terms: -4x + 4x = 0 23 + 1x = -36 + 0 23 + 1x = -36 Add '-23' to each side of the equation. 23 + -23 + 1x = -36 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = -36 + -23 1x = -36 + -23 Combine like terms: -36 + -23 = -59 1x = -59 Divide each side by '1'. x = -59 Simplifying x = -59
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