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Simplifying 2x + -3 = 6 + 4(3x + -4) Reorder the terms: -3 + 2x = 6 + 4(3x + -4) Reorder the terms: -3 + 2x = 6 + 4(-4 + 3x) -3 + 2x = 6 + (-4 * 4 + 3x * 4) -3 + 2x = 6 + (-16 + 12x) Combine like terms: 6 + -16 = -10 -3 + 2x = -10 + 12x Solving -3 + 2x = -10 + 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. -3 + 2x + -12x = -10 + 12x + -12x Combine like terms: 2x + -12x = -10x -3 + -10x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -10x = -10 + 0 -3 + -10x = -10 Add '3' to each side of the equation. -3 + 3 + -10x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = -10 + 3 -10x = -10 + 3 Combine like terms: -10 + 3 = -7 -10x = -7 Divide each side by '-10'. x = 0.7 Simplifying x = 0.7
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