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Simplifying 3(x + -3) + 3 = 4(x + -4) + 5 Reorder the terms: 3(-3 + x) + 3 = 4(x + -4) + 5 (-3 * 3 + x * 3) + 3 = 4(x + -4) + 5 (-9 + 3x) + 3 = 4(x + -4) + 5 Reorder the terms: -9 + 3 + 3x = 4(x + -4) + 5 Combine like terms: -9 + 3 = -6 -6 + 3x = 4(x + -4) + 5 Reorder the terms: -6 + 3x = 4(-4 + x) + 5 -6 + 3x = (-4 * 4 + x * 4) + 5 -6 + 3x = (-16 + 4x) + 5 Reorder the terms: -6 + 3x = -16 + 5 + 4x Combine like terms: -16 + 5 = -11 -6 + 3x = -11 + 4x Solving -6 + 3x = -11 + 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. -6 + 3x + -4x = -11 + 4x + -4x Combine like terms: 3x + -4x = -1x -6 + -1x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -1x = -11 + 0 -6 + -1x = -11 Add '6' to each side of the equation. -6 + 6 + -1x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -11 + 6 -1x = -11 + 6 Combine like terms: -11 + 6 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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