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Simplifying 3(x + -3) + 4 = 4(x + -4) + 3 Reorder the terms: 3(-3 + x) + 4 = 4(x + -4) + 3 (-3 * 3 + x * 3) + 4 = 4(x + -4) + 3 (-9 + 3x) + 4 = 4(x + -4) + 3 Reorder the terms: -9 + 4 + 3x = 4(x + -4) + 3 Combine like terms: -9 + 4 = -5 -5 + 3x = 4(x + -4) + 3 Reorder the terms: -5 + 3x = 4(-4 + x) + 3 -5 + 3x = (-4 * 4 + x * 4) + 3 -5 + 3x = (-16 + 4x) + 3 Reorder the terms: -5 + 3x = -16 + 3 + 4x Combine like terms: -16 + 3 = -13 -5 + 3x = -13 + 4x Solving -5 + 3x = -13 + 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. -5 + 3x + -4x = -13 + 4x + -4x Combine like terms: 3x + -4x = -1x -5 + -1x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -1x = -13 + 0 -5 + -1x = -13 Add '5' to each side of the equation. -5 + 5 + -1x = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -13 + 5 -1x = -13 + 5 Combine like terms: -13 + 5 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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