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Simplifying 2(3x + -5) + 9x = 48 + -4(x + 2) + 16 Reorder the terms: 2(-5 + 3x) + 9x = 48 + -4(x + 2) + 16 (-5 * 2 + 3x * 2) + 9x = 48 + -4(x + 2) + 16 (-10 + 6x) + 9x = 48 + -4(x + 2) + 16 Combine like terms: 6x + 9x = 15x -10 + 15x = 48 + -4(x + 2) + 16 Reorder the terms: -10 + 15x = 48 + -4(2 + x) + 16 -10 + 15x = 48 + (2 * -4 + x * -4) + 16 -10 + 15x = 48 + (-8 + -4x) + 16 Reorder the terms: -10 + 15x = 48 + -8 + 16 + -4x Combine like terms: 48 + -8 = 40 -10 + 15x = 40 + 16 + -4x Combine like terms: 40 + 16 = 56 -10 + 15x = 56 + -4x Solving -10 + 15x = 56 + -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. -10 + 15x + 4x = 56 + -4x + 4x Combine like terms: 15x + 4x = 19x -10 + 19x = 56 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 19x = 56 + 0 -10 + 19x = 56 Add '10' to each side of the equation. -10 + 10 + 19x = 56 + 10 Combine like terms: -10 + 10 = 0 0 + 19x = 56 + 10 19x = 56 + 10 Combine like terms: 56 + 10 = 66 19x = 66 Divide each side by '19'. x = 3.473684211 Simplifying x = 3.473684211
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