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Simplifying 4x + 7 = 3(7x + -4) Reorder the terms: 7 + 4x = 3(7x + -4) Reorder the terms: 7 + 4x = 3(-4 + 7x) 7 + 4x = (-4 * 3 + 7x * 3) 7 + 4x = (-12 + 21x) Solving 7 + 4x = -12 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 7 + 4x + -21x = -12 + 21x + -21x Combine like terms: 4x + -21x = -17x 7 + -17x = -12 + 21x + -21x Combine like terms: 21x + -21x = 0 7 + -17x = -12 + 0 7 + -17x = -12 Add '-7' to each side of the equation. 7 + -7 + -17x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -17x = -12 + -7 -17x = -12 + -7 Combine like terms: -12 + -7 = -19 -17x = -19 Divide each side by '-17'. x = 1.117647059 Simplifying x = 1.117647059
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