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Simplifying 5x + 2 = 4(x + -3) + 5 Reorder the terms: 2 + 5x = 4(x + -3) + 5 Reorder the terms: 2 + 5x = 4(-3 + x) + 5 2 + 5x = (-3 * 4 + x * 4) + 5 2 + 5x = (-12 + 4x) + 5 Reorder the terms: 2 + 5x = -12 + 5 + 4x Combine like terms: -12 + 5 = -7 2 + 5x = -7 + 4x Solving 2 + 5x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 5x + -4x = -7 + 4x + -4x Combine like terms: 5x + -4x = 1x 2 + 1x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 1x = -7 + 0 2 + 1x = -7 Add '-2' to each side of the equation. 2 + -2 + 1x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -7 + -2 1x = -7 + -2 Combine like terms: -7 + -2 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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