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Simplifying 5x + 7 = 4(x + 3) + 2x + -4 Reorder the terms: 7 + 5x = 4(x + 3) + 2x + -4 Reorder the terms: 7 + 5x = 4(3 + x) + 2x + -4 7 + 5x = (3 * 4 + x * 4) + 2x + -4 7 + 5x = (12 + 4x) + 2x + -4 Reorder the terms: 7 + 5x = 12 + -4 + 4x + 2x Combine like terms: 12 + -4 = 8 7 + 5x = 8 + 4x + 2x Combine like terms: 4x + 2x = 6x 7 + 5x = 8 + 6x Solving 7 + 5x = 8 + 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 + 5x + -6x = 8 + 6x + -6x Combine like terms: 5x + -6x = -1x 7 + -1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -1x = 8 + 0 7 + -1x = 8 Add '-7' to each side of the equation. 7 + -7 + -1x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 8 + -7 -1x = 8 + -7 Combine like terms: 8 + -7 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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