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Simplifying 24 + -4x = 15x + -4(3x + 1) Reorder the terms: 24 + -4x = 15x + -4(1 + 3x) 24 + -4x = 15x + (1 * -4 + 3x * -4) 24 + -4x = 15x + (-4 + -12x) Reorder the terms: 24 + -4x = -4 + 15x + -12x Combine like terms: 15x + -12x = 3x 24 + -4x = -4 + 3x Solving 24 + -4x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + -4x + -3x = -4 + 3x + -3x Combine like terms: -4x + -3x = -7x 24 + -7x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -7x = -4 + 0 24 + -7x = -4 Add '-24' to each side of the equation. 24 + -24 + -7x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = -4 + -24 -7x = -4 + -24 Combine like terms: -4 + -24 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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