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Simplifying 5x + 4 = 6(x + -2) + 5 Reorder the terms: 4 + 5x = 6(x + -2) + 5 Reorder the terms: 4 + 5x = 6(-2 + x) + 5 4 + 5x = (-2 * 6 + x * 6) + 5 4 + 5x = (-12 + 6x) + 5 Reorder the terms: 4 + 5x = -12 + 5 + 6x Combine like terms: -12 + 5 = -7 4 + 5x = -7 + 6x Solving 4 + 5x = -7 + 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. 4 + 5x + -6x = -7 + 6x + -6x Combine like terms: 5x + -6x = -1x 4 + -1x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -1x = -7 + 0 4 + -1x = -7 Add '-4' to each side of the equation. 4 + -4 + -1x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -7 + -4 -1x = -7 + -4 Combine like terms: -7 + -4 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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