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Simplifying 6x + 7 = 4(3 + 4x) + 5 Reorder the terms: 7 + 6x = 4(3 + 4x) + 5 7 + 6x = (3 * 4 + 4x * 4) + 5 7 + 6x = (12 + 16x) + 5 Reorder the terms: 7 + 6x = 12 + 5 + 16x Combine like terms: 12 + 5 = 17 7 + 6x = 17 + 16x Solving 7 + 6x = 17 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 7 + 6x + -16x = 17 + 16x + -16x Combine like terms: 6x + -16x = -10x 7 + -10x = 17 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + -10x = 17 + 0 7 + -10x = 17 Add '-7' to each side of the equation. 7 + -7 + -10x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = 17 + -7 -10x = 17 + -7 Combine like terms: 17 + -7 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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