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Simplifying 4x + 7 = 6(x + -7) + 3x Reorder the terms: 7 + 4x = 6(x + -7) + 3x Reorder the terms: 7 + 4x = 6(-7 + x) + 3x 7 + 4x = (-7 * 6 + x * 6) + 3x 7 + 4x = (-42 + 6x) + 3x Combine like terms: 6x + 3x = 9x 7 + 4x = -42 + 9x Solving 7 + 4x = -42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 4x + -9x = -42 + 9x + -9x Combine like terms: 4x + -9x = -5x 7 + -5x = -42 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -5x = -42 + 0 7 + -5x = -42 Add '-7' to each side of the equation. 7 + -7 + -5x = -42 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -42 + -7 -5x = -42 + -7 Combine like terms: -42 + -7 = -49 -5x = -49 Divide each side by '-5'. x = 9.8 Simplifying x = 9.8
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