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Simplifying 4(x + 7) + -24 = 2(3x + -1) + 5 Reorder the terms: 4(7 + x) + -24 = 2(3x + -1) + 5 (7 * 4 + x * 4) + -24 = 2(3x + -1) + 5 (28 + 4x) + -24 = 2(3x + -1) + 5 Reorder the terms: 28 + -24 + 4x = 2(3x + -1) + 5 Combine like terms: 28 + -24 = 4 4 + 4x = 2(3x + -1) + 5 Reorder the terms: 4 + 4x = 2(-1 + 3x) + 5 4 + 4x = (-1 * 2 + 3x * 2) + 5 4 + 4x = (-2 + 6x) + 5 Reorder the terms: 4 + 4x = -2 + 5 + 6x Combine like terms: -2 + 5 = 3 4 + 4x = 3 + 6x Solving 4 + 4x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 4x + -6x = 3 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = 3 + 0 4 + -2x = 3 Add '-4' to each side of the equation. 4 + -4 + -2x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 3 + -4 -2x = 3 + -4 Combine like terms: 3 + -4 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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