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Simplifying 2(-4 + 6x) + -3 = 52 + -3x (-4 * 2 + 6x * 2) + -3 = 52 + -3x (-8 + 12x) + -3 = 52 + -3x Reorder the terms: -8 + -3 + 12x = 52 + -3x Combine like terms: -8 + -3 = -11 -11 + 12x = 52 + -3x Solving -11 + 12x = 52 + -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. -11 + 12x + 3x = 52 + -3x + 3x Combine like terms: 12x + 3x = 15x -11 + 15x = 52 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 15x = 52 + 0 -11 + 15x = 52 Add '11' to each side of the equation. -11 + 11 + 15x = 52 + 11 Combine like terms: -11 + 11 = 0 0 + 15x = 52 + 11 15x = 52 + 11 Combine like terms: 52 + 11 = 63 15x = 63 Divide each side by '15'. x = 4.2 Simplifying x = 4.2
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