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