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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 + 28x = -6 + -23 + 4x Combine like terms: -6 + -23 = -29 7 + 28x = -29 + 4x Solving 7 + 28x = -29 + 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. 7 + 28x + -4x = -29 + 4x + -4x Combine like terms: 28x + -4x = 24x 7 + 24x = -29 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 24x = -29 + 0 7 + 24x = -29 Add '-7' to each side of the equation. 7 + -7 + 24x = -29 + -7 Combine like terms: 7 + -7 = 0 0 + 24x = -29 + -7 24x = -29 + -7 Combine like terms: -29 + -7 = -36 24x = -36 Divide each side by '24'. x = -1.5 Simplifying x = -1.5
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