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Simplifying 7(4x + 1) + -2(2x + -3) = -23 Reorder the terms: 7(1 + 4x) + -2(2x + -3) = -23 (1 * 7 + 4x * 7) + -2(2x + -3) = -23 (7 + 28x) + -2(2x + -3) = -23 Reorder the terms: 7 + 28x + -2(-3 + 2x) = -23 7 + 28x + (-3 * -2 + 2x * -2) = -23 7 + 28x + (6 + -4x) = -23 Reorder the terms: 7 + 6 + 28x + -4x = -23 Combine like terms: 7 + 6 = 13 13 + 28x + -4x = -23 Combine like terms: 28x + -4x = 24x 13 + 24x = -23 Solving 13 + 24x = -23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 24x = -23 + -13 Combine like terms: 13 + -13 = 0 0 + 24x = -23 + -13 24x = -23 + -13 Combine like terms: -23 + -13 = -36 24x = -36 Divide each side by '24'. x = -1.5 Simplifying x = -1.5
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