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Simplifying 4x + 25 = 6(x + -3) + -3(4 + -3x) Reorder the terms: 25 + 4x = 6(x + -3) + -3(4 + -3x) Reorder the terms: 25 + 4x = 6(-3 + x) + -3(4 + -3x) 25 + 4x = (-3 * 6 + x * 6) + -3(4 + -3x) 25 + 4x = (-18 + 6x) + -3(4 + -3x) 25 + 4x = -18 + 6x + (4 * -3 + -3x * -3) 25 + 4x = -18 + 6x + (-12 + 9x) Reorder the terms: 25 + 4x = -18 + -12 + 6x + 9x Combine like terms: -18 + -12 = -30 25 + 4x = -30 + 6x + 9x Combine like terms: 6x + 9x = 15x 25 + 4x = -30 + 15x Solving 25 + 4x = -30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 25 + 4x + -15x = -30 + 15x + -15x Combine like terms: 4x + -15x = -11x 25 + -11x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 25 + -11x = -30 + 0 25 + -11x = -30 Add '-25' to each side of the equation. 25 + -25 + -11x = -30 + -25 Combine like terms: 25 + -25 = 0 0 + -11x = -30 + -25 -11x = -30 + -25 Combine like terms: -30 + -25 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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