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Simplifying 4(x + -3) + 5 = 2x + 7 Reorder the terms: 4(-3 + x) + 5 = 2x + 7 (-3 * 4 + x * 4) + 5 = 2x + 7 (-12 + 4x) + 5 = 2x + 7 Reorder the terms: -12 + 5 + 4x = 2x + 7 Combine like terms: -12 + 5 = -7 -7 + 4x = 2x + 7 Reorder the terms: -7 + 4x = 7 + 2x Solving -7 + 4x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x -7 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 2x = 7 + 0 -7 + 2x = 7 Add '7' to each side of the equation. -7 + 7 + 2x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 7 + 7 2x = 7 + 7 Combine like terms: 7 + 7 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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