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Simplifying 2x + -15 + 4x = 4(3x + -6) + 6 Reorder the terms: -15 + 2x + 4x = 4(3x + -6) + 6 Combine like terms: 2x + 4x = 6x -15 + 6x = 4(3x + -6) + 6 Reorder the terms: -15 + 6x = 4(-6 + 3x) + 6 -15 + 6x = (-6 * 4 + 3x * 4) + 6 -15 + 6x = (-24 + 12x) + 6 Reorder the terms: -15 + 6x = -24 + 6 + 12x Combine like terms: -24 + 6 = -18 -15 + 6x = -18 + 12x Solving -15 + 6x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 6x + -12x = -18 + 12x + -12x Combine like terms: 6x + -12x = -6x -15 + -6x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -6x = -18 + 0 -15 + -6x = -18 Add '15' to each side of the equation. -15 + 15 + -6x = -18 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -18 + 15 -6x = -18 + 15 Combine like terms: -18 + 15 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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