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Simplifying 3(x + -4) + 6 = 5(x + -1) * 4 Reorder the terms: 3(-4 + x) + 6 = 5(x + -1) * 4 (-4 * 3 + x * 3) + 6 = 5(x + -1) * 4 (-12 + 3x) + 6 = 5(x + -1) * 4 Reorder the terms: -12 + 6 + 3x = 5(x + -1) * 4 Combine like terms: -12 + 6 = -6 -6 + 3x = 5(x + -1) * 4 Reorder the terms: -6 + 3x = 5(-1 + x) * 4 Reorder the terms for easier multiplication: -6 + 3x = 5 * 4(-1 + x) Multiply 5 * 4 -6 + 3x = 20(-1 + x) -6 + 3x = (-1 * 20 + x * 20) -6 + 3x = (-20 + 20x) Solving -6 + 3x = -20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6 + 3x + -20x = -20 + 20x + -20x Combine like terms: 3x + -20x = -17x -6 + -17x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + -17x = -20 + 0 -6 + -17x = -20 Add '6' to each side of the equation. -6 + 6 + -17x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -17x = -20 + 6 -17x = -20 + 6 Combine like terms: -20 + 6 = -14 -17x = -14 Divide each side by '-17'. x = 0.8235294118 Simplifying x = 0.8235294118
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