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Simplifying 4(x + -3) + 5x = 3(x + 5) + 15 Reorder the terms: 4(-3 + x) + 5x = 3(x + 5) + 15 (-3 * 4 + x * 4) + 5x = 3(x + 5) + 15 (-12 + 4x) + 5x = 3(x + 5) + 15 Combine like terms: 4x + 5x = 9x -12 + 9x = 3(x + 5) + 15 Reorder the terms: -12 + 9x = 3(5 + x) + 15 -12 + 9x = (5 * 3 + x * 3) + 15 -12 + 9x = (15 + 3x) + 15 Reorder the terms: -12 + 9x = 15 + 15 + 3x Combine like terms: 15 + 15 = 30 -12 + 9x = 30 + 3x Solving -12 + 9x = 30 + 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. -12 + 9x + -3x = 30 + 3x + -3x Combine like terms: 9x + -3x = 6x -12 + 6x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 6x = 30 + 0 -12 + 6x = 30 Add '12' to each side of the equation. -12 + 12 + 6x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 30 + 12 6x = 30 + 12 Combine like terms: 30 + 12 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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