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Simplifying 4x + 7 = 6(x + 2) + -3 Reorder the terms: 7 + 4x = 6(x + 2) + -3 Reorder the terms: 7 + 4x = 6(2 + x) + -3 7 + 4x = (2 * 6 + x * 6) + -3 7 + 4x = (12 + 6x) + -3 Reorder the terms: 7 + 4x = 12 + -3 + 6x Combine like terms: 12 + -3 = 9 7 + 4x = 9 + 6x Solving 7 + 4x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 4x + -6x = 9 + 6x + -6x Combine like terms: 4x + -6x = -2x 7 + -2x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -2x = 9 + 0 7 + -2x = 9 Add '-7' to each side of the equation. 7 + -7 + -2x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 9 + -7 -2x = 9 + -7 Combine like terms: 9 + -7 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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