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Simplifying 4(x + -3) + 2 = 5(x + 3) + 4 Reorder the terms: 4(-3 + x) + 2 = 5(x + 3) + 4 (-3 * 4 + x * 4) + 2 = 5(x + 3) + 4 (-12 + 4x) + 2 = 5(x + 3) + 4 Reorder the terms: -12 + 2 + 4x = 5(x + 3) + 4 Combine like terms: -12 + 2 = -10 -10 + 4x = 5(x + 3) + 4 Reorder the terms: -10 + 4x = 5(3 + x) + 4 -10 + 4x = (3 * 5 + x * 5) + 4 -10 + 4x = (15 + 5x) + 4 Reorder the terms: -10 + 4x = 15 + 4 + 5x Combine like terms: 15 + 4 = 19 -10 + 4x = 19 + 5x Solving -10 + 4x = 19 + 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. -10 + 4x + -5x = 19 + 5x + -5x Combine like terms: 4x + -5x = -1x -10 + -1x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -1x = 19 + 0 -10 + -1x = 19 Add '10' to each side of the equation. -10 + 10 + -1x = 19 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 19 + 10 -1x = 19 + 10 Combine like terms: 19 + 10 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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